46896609901560 has 256 divisors, whose sum is σ = 146187359746560. Its totient is φ = 12026667663360.

The previous prime is 46896609901513. The next prime is 46896609901579. The reversal of 46896609901560 is 6510990669864.

It is a hoax number, since the sum of its digits (69) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 217236475 + ... + 217452245.

It is an arithmetic number, because the mean of its divisors is an integer number (571044374010).

Almost surely, 2^{46896609901560} is an apocalyptic number.

46896609901560 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 46896609901560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73093679873280).

46896609901560 is an abundant number, since it is smaller than the sum of its proper divisors (99290749845000).

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

46896609901560 is a wasteful number, since it uses less digits than its factorization.

46896609901560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216478 (or 216474 counting only the distinct ones).

The product of its (nonzero) digits is 151165440, while the sum is 69.

The spelling of 46896609901560 in words is "forty-six trillion, eight hundred ninety-six billion, six hundred nine million, nine hundred one thousand, five hundred sixty".