87336919684416 has 224 divisors, whose sum is σ = 240384993488640. Its totient is φ = 27961921142784.

The previous prime is 87336919684387. The next prime is 87336919684439. The reversal of 87336919684416 is 61448691963378.

It is a super-2 number, since 2×87336919684416² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 231764440 + ... + 232140968.

It is an arithmetic number, because the mean of its divisors is an integer number (1073147292360).

Almost surely, 2^{87336919684416} 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 87336919684416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120192496744320).

87336919684416 is an abundant number, since it is smaller than the sum of its proper divisors (153048073804224).

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

87336919684416 is a wasteful number, since it uses less digits than its factorization.

87336919684416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377001 (or 376991 counting only the distinct ones).

The product of its digits is 1128701952, while the sum is 75.

The spelling of 87336919684416 in words is "eighty-seven trillion, three hundred thirty-six billion, nine hundred nineteen million, six hundred eighty-four thousand, four hundred sixteen".