45598379863680 has 1344 divisors, whose sum is σ = 198424352522880. Its totient is φ = 9809196318720.

The previous prime is 45598379863639. The next prime is 45598379863703. The reversal of 45598379863680 is 8636897389554.

45598379863680 is a `hidden beast` number, since 4 + 5 + 5 + 98 + 379 + 86 + 3 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 45598379863680.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 943826725 + ... + 943875035.

Almost surely, 2^{45598379863680} is an apocalyptic number.

45598379863680 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 45598379863680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99212176261440).

45598379863680 is an abundant number, since it is smaller than the sum of its proper divisors (152825972659200).

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

45598379863680 is an equidigital number, since it uses as much as digits as its factorization.

45598379863680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48389 (or 48345 counting only the distinct ones).

The product of its (nonzero) digits is 9405849600, while the sum is 81.

The spelling of 45598379863680 in words is "forty-five trillion, five hundred ninety-eight billion, three hundred seventy-nine million, eight hundred sixty-three thousand, six hundred eighty".