45407956335 has 192 divisors, whose sum is σ = 92082272256. Its totient is φ = 18650234880.

The previous prime is 45407956283. The next prime is 45407956367. The reversal of 45407956335 is 53365970454.

It is a happy number.

It is not a de Polignac number, because 45407956335 - 2⁶ = 45407956271 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 176684527 + ... + 176684783.

It is an arithmetic number, because the mean of its divisors is an integer number (479595168).

Almost surely, 2^45407956335 is an apocalyptic number.

45407956335 is an abundant number, since it is smaller than the sum of its proper divisors (46674315921).

45407956335 is a wasteful number, since it uses less digits than its factorization.

45407956335 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 6804000, while the sum is 51.

The spelling of 45407956335 in words is "forty-five billion, four hundred seven million, nine hundred fifty-six thousand, three hundred thirty-five".