46383415015680 has 360 divisors, whose sum is σ = 165994645098744. Its totient is φ = 12366950400000.

The previous prime is 46383415015669. The next prime is 46383415015789. The reversal of 46383415015680 is 8651051438364.

It is a happy number.

46383415015680 is a `hidden beast` number, since 4 + 6 + 3 + 8 + 3 + 4 + 1 + 501 + 56 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 12946525104384 + 33436889911296 = 3598128^2 + 5782464^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 725831730 + ... + 725895630.

Almost surely, 2^{46383415015680} is an apocalyptic number.

46383415015680 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 46383415015680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82997322549372).

46383415015680 is an abundant number, since it is smaller than the sum of its proper divisors (119611230083064).

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

46383415015680 is an equidigital number, since it uses as much as digits as its factorization.

46383415015680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70935 (or 70912 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 46383415015680 in words is "forty-six trillion, three hundred eighty-three billion, four hundred fifteen million, fifteen thousand, six hundred eighty".