46915292165040 has 400 divisors, whose sum is σ = 175728441784896. Its totient is φ = 11531890944000.

The previous prime is 46915292165039. The next prime is 46915292165051. The reversal of 46915292165040 is 4056129251964.

It is a happy number.

46915292165040 is a `hidden beast` number, since 4 + 6 + 9 + 1 + 529 + 21 + 6 + 50 + 40 = 666.

46915292165040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×46915292165040² (a number of 28 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 79 ways as a sum of consecutive naturals, for example, 58655005 + ... + 59449475.

Almost surely, 2^{46915292165040} is an apocalyptic number.

46915292165040 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 46915292165040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87864220892448).

46915292165040 is an abundant number, since it is smaller than the sum of its proper divisors (128813149619856).

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

46915292165040 is a wasteful number, since it uses less digits than its factorization.

46915292165040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 795210 (or 795195 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 46915292165040 in words is "forty-six trillion, nine hundred fifteen billion, two hundred ninety-two million, one hundred sixty-five thousand, forty".