45740883755952 has 200 divisors, whose sum is σ = 165054406294272. Its totient is φ = 11880749001600.

The previous prime is 45740883755947. The next prime is 45740883755953. The reversal of 45740883755952 is 25955738804754.

45740883755952 is a `hidden beast` number, since 4 + 5 + 7 + 408 + 83 + 7 + 55 + 95 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (45740883755953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 229081324 + ... + 229280907.

Almost surely, 2^{45740883755952} is an apocalyptic number.

45740883755952 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

45740883755952 is an abundant number, since it is smaller than the sum of its proper divisors (119313522538320).

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

45740883755952 is a wasteful number, since it uses less digits than its factorization.

45740883755952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458362269 (or 458362254 counting only the distinct ones).

The product of its (nonzero) digits is 1693440000, while the sum is 72.

The spelling of 45740883755952 in words is "forty-five trillion, seven hundred forty billion, eight hundred eighty-three million, seven hundred fifty-five thousand, nine hundred fifty-two".