46463857803264 has 240 divisors, whose sum is σ = 139824317545920. Its totient is φ = 13594436567040.

The previous prime is 46463857803217. The next prime is 46463857803299. The reversal of 46463857803264 is 46230875836464.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 46463857803195 and 46463857803204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14197812 + ... + 17161164.

It is an arithmetic number, because the mean of its divisors is an integer number (582601323108).

Almost surely, 2^{46463857803264} is an apocalyptic number.

46463857803264 is a gapful number since it is divisible by the number (44) 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 46463857803264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69912158772960).

46463857803264 is an abundant number, since it is smaller than the sum of its proper divisors (93360459742656).

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

46463857803264 is a wasteful number, since it uses less digits than its factorization.

46463857803264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2963424 (or 2963398 counting only the distinct ones).

The product of its (nonzero) digits is 557383680, while the sum is 66.

The spelling of 46463857803264 in words is "forty-six trillion, four hundred sixty-three billion, eight hundred fifty-seven million, eight hundred three thousand, two hundred sixty-four".