45354123936 has 720 divisors, whose sum is σ = 158638411008. Its totient is φ = 12590899200.

The previous prime is 45354123887. The next prime is 45354123949. The reversal of 45354123936 is 63932145354.

45354123936 is a `hidden beast` number, since 4 + 53 + 541 + 23 + 9 + 36 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 45354123891 and 45354123900.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 467568240 + ... + 467568336.

Almost surely, 2^45354123936 is an apocalyptic number.

45354123936 is a gapful number since it is divisible by the number (46) 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 45354123936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79319205504).

45354123936 is an abundant number, since it is smaller than the sum of its proper divisors (113284287072).

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

45354123936 is a wasteful number, since it uses less digits than its factorization.

45354123936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 167 counting only the distinct ones).

The product of its digits is 1166400, while the sum is 45.

The spelling of 45354123936 in words is "forty-five billion, three hundred fifty-four million, one hundred twenty-three thousand, nine hundred thirty-six".