45696405764448 has 36 divisors (see below), whose sum is σ = 129949153893468. Its totient is φ = 15232135254720.

The previous prime is 45696405764431. The next prime is 45696405764453. The reversal of 45696405764448 is 84446750469654.

45696405764448 is a `hidden beast` number, since 4 + 5 + 6 + 9 + 6 + 4 + 0 + 576 + 4 + 4 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×45696405764448² (a number of 28 digits) contains 22 as substring.

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

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 5 ways as a sum of consecutive naturals, for example, 79334037498 + ... + 79334038073.

It is an arithmetic number, because the mean of its divisors is an integer number (3609698719263).

Almost surely, 2^{45696405764448} is an apocalyptic number.

45696405764448 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

45696405764448 is an abundant number, since it is smaller than the sum of its proper divisors (84252748129020).

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

45696405764448 is a wasteful number, since it uses less digits than its factorization.

45696405764448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158668075587 (or 158668075576 counting only the distinct ones).

The product of its (nonzero) digits is 2786918400, while the sum is 72.

The spelling of 45696405764448 in words is "forty-five trillion, six hundred ninety-six billion, four hundred five million, seven hundred sixty-four thousand, four hundred forty-eight".