45987870015360 has 384 divisors, whose sum is σ = 195448449792960. Its totient is φ = 9702935101440.

The previous prime is 45987870015287. The next prime is 45987870015413. The reversal of 45987870015360 is 6351007878954.

45987870015360 is a `hidden beast` number, since 4 + 5 + 98 + 7 + 8 + 7 + 0 + 0 + 1 + 536 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×45987870015360² (a number of 28 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 43344001 + ... + 44392320.

Almost surely, 2^{45987870015360} is an apocalyptic number.

45987870015360 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45987870015360 is an abundant number, since it is smaller than the sum of its proper divisors (149460579777600).

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

45987870015360 is a wasteful number, since it uses less digits than its factorization.

45987870015360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87736366 (or 87736351 counting only the distinct ones).

The product of its (nonzero) digits is 50803200, while the sum is 63.

The spelling of 45987870015360 in words is "forty-five trillion, nine hundred eighty-seven billion, eight hundred seventy million, fifteen thousand, three hundred sixty".