45707856768 has 896 divisors, whose sum is σ = 171242496000. Its totient is φ = 11851370496.

The previous prime is 45707856757. The next prime is 45707856773. The reversal of 45707856768 is 86765870754.

45707856768 is a `hidden beast` number, since 4 + 5 + 7 + 0 + 7 + 8 + 567 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (896).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 359904321 + ... + 359904447.

Almost surely, 2^45707856768 is an apocalyptic number.

45707856768 is a gapful number since it is divisible by the number (48) 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 45707856768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85621248000).

45707856768 is an abundant number, since it is smaller than the sum of its proper divisors (125534639232).

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

45707856768 is a wasteful number, since it uses less digits than its factorization.

45707856768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 79027200, while the sum is 63.

The spelling of 45707856768 in words is "forty-five billion, seven hundred seven million, eight hundred fifty-six thousand, seven hundred sixty-eight".