45602041294432 has 576 divisors, whose sum is σ = 112181142979584. Its totient is φ = 18154543841280.

The previous prime is 45602041294421. The next prime is 45602041294441. The reversal of 45602041294432 is 23449214020654.

It is a super-2 number, since 2×45602041294432² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 72269478757 + ... + 72269479387.

It is an arithmetic number, because the mean of its divisors is an integer number (194758928784).

Almost surely, 2^{45602041294432} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45602041294432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56090571489792).

45602041294432 is an abundant number, since it is smaller than the sum of its proper divisors (66579101685152).

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

45602041294432 is a wasteful number, since it uses less digits than its factorization.

45602041294432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1131 (or 1116 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 46.

The spelling of 45602041294432 in words is "forty-five trillion, six hundred two billion, forty-one million, two hundred ninety-four thousand, four hundred thirty-two".