46131190560 has 576 divisors, whose sum is σ = 194843480832. Its totient is φ = 9678348288.

The previous prime is 46131190537. The next prime is 46131190577. The reversal of 46131190560 is 6509113164.

46131190560 is a `hidden beast` number, since 4 + 6 + 1 + 3 + 1 + 1 + 90 + 560 = 666.

It is a super-2 number, since 2×46131190560² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25813987 + ... + 25815773.

It is an arithmetic number, because the mean of its divisors is an integer number (338269932).

Almost surely, 2^46131190560 is an apocalyptic number.

46131190560 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 46131190560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97421740416).

46131190560 is an abundant number, since it is smaller than the sum of its proper divisors (148712290272).

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

46131190560 is a wasteful number, since it uses less digits than its factorization.

46131190560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2025 (or 2014 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 46131190560 in words is "forty-six billion, one hundred thirty-one million, one hundred ninety thousand, five hundred sixty".