46951599407328 has 1296 divisors, whose sum is σ = 184567921770960. Its totient is φ = 11240826347520.

The previous prime is 46951599407249. The next prime is 46951599407329. The reversal of 46951599407328 is 82370499515964.

46951599407328 is a `hidden beast` number, since 4 + 6 + 9 + 5 + 1 + 599 + 4 + 0 + 7 + 3 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46951599407329) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1200389500 + ... + 1200428612.

It is an arithmetic number, because the mean of its divisors is an integer number (142413519885).

It is a 1-persistent number, because it is pandigital, but 2⋅46951599407328 = 93903198814656 is not.

Almost surely, 2^{46951599407328} is an apocalyptic number.

46951599407328 is a gapful number since it is divisible by the number (48) 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 46951599407328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92283960885480).

46951599407328 is an abundant number, since it is smaller than the sum of its proper divisors (137616322363632).

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

46951599407328 is a wasteful number, since it uses less digits than its factorization.

46951599407328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39221 (or 39192 counting only the distinct ones).

The product of its (nonzero) digits is 587865600, while the sum is 72.

The spelling of 46951599407328 in words is "forty-six trillion, nine hundred fifty-one billion, five hundred ninety-nine million, four hundred seven thousand, three hundred twenty-eight".