45177053760 has 672 divisors, whose sum is σ = 167752166400. Its totient is φ = 11137351680.

The previous prime is 45177053759. The next prime is 45177053849. The reversal of 45177053760 is 6735077154.

45177053760 is a `hidden beast` number, since 4 + 51 + 7 + 7 + 0 + 537 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 270521197 + ... + 270521363.

It is an arithmetic number, because the mean of its divisors is an integer number (249631200).

Almost surely, 2^45177053760 is an apocalyptic number.

45177053760 is a gapful number since it is divisible by the number (40) 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 45177053760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83876083200).

45177053760 is an abundant number, since it is smaller than the sum of its proper divisors (122575112640).

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

45177053760 is a wasteful number, since it uses less digits than its factorization.

45177053760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 617400, while the sum is 45.

The spelling of 45177053760 in words is "forty-five billion, one hundred seventy-seven million, fifty-three thousand, seven hundred sixty".