46402808353011 has 256 divisors, whose sum is σ = 82078064640000. Its totient is φ = 25624626048000.

The previous prime is 46402808352961. The next prime is 46402808353051. The reversal of 46402808353011 is 11035380820464.

46402808353011 is a `hidden beast` number, since 4 + 6 + 4 + 0 + 28 + 0 + 83 + 530 + 11 = 666.

It is not a de Polignac number, because 46402808353011 - 2²⁷ = 46402674135283 is a prime.

It is a super-2 number, since 2×46402808353011² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (46402808353051) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 7933457215 + ... + 7933463063.

It is an arithmetic number, because the mean of its divisors is an integer number (320617440000).

Almost surely, 2^{46402808353011} is an apocalyptic number.

46402808353011 is a deficient number, since it is larger than the sum of its proper divisors (35675256286989).

46402808353011 is a wasteful number, since it uses less digits than its factorization.

46402808353011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6663 (or 6657 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 46402808353011 in words is "forty-six trillion, four hundred two billion, eight hundred eight million, three hundred fifty-three thousand, eleven".