45647791938 has 288 divisors, whose sum is σ = 122376334080. Its totient is φ = 12040047360.

The previous prime is 45647791913. The next prime is 45647791949. The reversal of 45647791938 is 83919774654.

45647791938 is a `hidden beast` number, since 45 + 6 + 477 + 91 + 9 + 38 = 666.

It is a super-3 number, since 3×45647791938³ (a number of 33 digits) contains 333 as substring.

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

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 418787028 + ... + 418787136.

Almost surely, 2^45647791938 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45647791938, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61188167040).

45647791938 is an abundant number, since it is smaller than the sum of its proper divisors (76728542142).

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

45647791938 is a wasteful number, since it uses less digits than its factorization.

45647791938 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 308 counting only the distinct ones).

The product of its digits is 45722880, while the sum is 63.

The spelling of 45647791938 in words is "forty-five billion, six hundred forty-seven million, seven hundred ninety-one thousand, nine hundred thirty-eight".