46151313183360 has 1792 divisors, whose sum is σ = 211274924555520. Its totient is φ = 9355685068800.

The previous prime is 46151313183331. The next prime is 46151313183379. The reversal of 46151313183360 is 6338131315164.

46151313183360 is a `hidden beast` number, since 4 + 6 + 151 + 3 + 131 + 8 + 3 + 360 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 1472914254 + ... + 1472945586.

It is an arithmetic number, because the mean of its divisors is an integer number (117898953435).

Almost surely, 2^{46151313183360} is an apocalyptic number.

46151313183360 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 46151313183360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105637462277760).

46151313183360 is an abundant number, since it is smaller than the sum of its proper divisors (165123611372160).

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

46151313183360 is a wasteful number, since it uses less digits than its factorization.

46151313183360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31429 (or 31402 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 46151313183360 in words is "forty-six trillion, one hundred fifty-one billion, three hundred thirteen million, one hundred eighty-three thousand, three hundred sixty".