451533272270472 has 512 divisors, whose sum is σ = 1536639160320000. Its totient is φ = 120030021974016.

The previous prime is 451533272270441. The next prime is 451533272270503. The reversal of 451533272270472 is 274072272335154.

451533272270472 is a `hidden beast` number, since 4 + 5 + 1 + 5 + 3 + 32 + 72 + 2 + 70 + 472 = 666.

It is an interprime number because it is at equal distance from previous prime (451533272270441) and next prime (451533272270503).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4540756929 + ... + 4540856367.

It is an arithmetic number, because the mean of its divisors is an integer number (3001248360000).

Almost surely, 2^{451533272270472} is an apocalyptic number.

451533272270472 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 451533272270472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (768319580160000).

451533272270472 is an abundant number, since it is smaller than the sum of its proper divisors (1085105888049528).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

451533272270472 is a wasteful number, since it uses less digits than its factorization.

451533272270472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103050 (or 103040 counting only the distinct ones).

The product of its (nonzero) digits is 19756800, while the sum is 54.

The spelling of 451533272270472 in words is "four hundred fifty-one trillion, five hundred thirty-three billion, two hundred seventy-two million, two hundred seventy thousand, four hundred seventy-two".