45535925952 has 224 divisors, whose sum is σ = 147489062400. Its totient is φ = 13661568000.

The previous prime is 45535925951. The next prime is 45535925957. The reversal of 45535925952 is 25952953554.

It is a happy number.

45535925952 is a `hidden beast` number, since 4 + 5 + 535 + 9 + 2 + 59 + 52 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (45535925951) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1907949 + ... + 1931667.

Almost surely, 2^45535925952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45535925952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73744531200).

45535925952 is an abundant number, since it is smaller than the sum of its proper divisors (101953136448).

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

45535925952 is a wasteful number, since it uses less digits than its factorization.

45535925952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23852 (or 23836 counting only the distinct ones).

The product of its digits is 12150000, while the sum is 54.

The spelling of 45535925952 in words is "forty-five billion, five hundred thirty-five million, nine hundred twenty-five thousand, nine hundred fifty-two".