46296337919616 has 256 divisors, whose sum is σ = 141364545840000. Its totient is φ = 14898455470080.

The previous prime is 46296337919569. The next prime is 46296337919617. The reversal of 46296337919616 is 61691973369264.

46296337919616 is a `hidden beast` number, since 4 + 6 + 2 + 9 + 63 + 379 + 196 + 1 + 6 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (46296337919617) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1404221980 + ... + 1404254948.

Almost surely, 2^{46296337919616} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46296337919616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70682272920000).

46296337919616 is an abundant number, since it is smaller than the sum of its proper divisors (95068207920384).

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

46296337919616 is a wasteful number, since it uses less digits than its factorization.

46296337919616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47032 (or 47014 counting only the distinct ones).

The product of its digits is 476171136, while the sum is 72.

The spelling of 46296337919616 in words is "forty-six trillion, two hundred ninety-six billion, three hundred thirty-seven million, nine hundred nineteen thousand, six hundred sixteen".