46516629937536 has 1536 divisors, whose sum is σ = 160151969577600. Its totient is φ = 12819824640000.

The previous prime is 46516629937529. The next prime is 46516629937621. The reversal of 46516629937536 is 63573992661564.

46516629937536 is a `hidden beast` number, since 4 + 6 + 5 + 1 + 66 + 29 + 9 + 3 + 7 + 536 = 666.

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 polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 100903752346 + ... + 100903752806.

Almost surely, 2^{46516629937536} 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 46516629937536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80075984788800).

46516629937536 is an abundant number, since it is smaller than the sum of its proper divisors (113635339640064).

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

46516629937536 is a wasteful number, since it uses less digits than its factorization.

46516629937536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 780 (or 765 counting only the distinct ones).

The product of its digits is 1322697600, while the sum is 72.

The spelling of 46516629937536 in words is "forty-six trillion, five hundred sixteen billion, six hundred twenty-nine million, nine hundred thirty-seven thousand, five hundred thirty-six".