46285147560960 has 5632 divisors, whose sum is σ = 231235450306560. Its totient is φ = 8484972134400.

The previous prime is 46285147560919. The next prime is 46285147561043. The reversal of 46285147560960 is 6906574158264.

46285147560960 is a `hidden beast` number, since 4 + 6 + 2 + 8 + 5 + 1 + 4 + 7 + 560 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (5632).

It is a super-2 number, since 2×46285147560960² (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 511 ways as a sum of consecutive naturals, for example, 207556715409 + ... + 207556715631.

Almost surely, 2^{46285147560960} is an apocalyptic number.

46285147560960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46285147560960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115617725153280).

46285147560960 is an abundant number, since it is smaller than the sum of its proper divisors (184950302745600).

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

46285147560960 is a wasteful number, since it uses less digits than its factorization.

46285147560960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 87091200, while the sum is 63.

The spelling of 46285147560960 in words is "forty-six trillion, two hundred eighty-five billion, one hundred forty-seven million, five hundred sixty thousand, nine hundred sixty".