46480863744 has 600 divisors, whose sum is σ = 163831751820. Its totient is φ = 13079937024.

The previous prime is 46480863743. The next prime is 46480863791. The reversal of 46480863744 is 44736808464.

46480863744 is a `hidden beast` number, since 46 + 480 + 86 + 3 + 7 + 44 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 45236185344 + 1244678400 = 212688^2 + 35280^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46480863743) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 180859264 + ... + 180859520.

Almost surely, 2^46480863744 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 46480863744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81915875910).

46480863744 is an abundant number, since it is smaller than the sum of its proper divisors (117350888076).

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

46480863744 is an equidigital number, since it uses as much as digits as its factorization.

46480863744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 12386304, while the sum is 54.

The spelling of 46480863744 in words is "forty-six billion, four hundred eighty million, eight hundred sixty-three thousand, seven hundred forty-four".