44946114700680 has 256 divisors, whose sum is σ = 158650574054400. Its totient is φ = 11279368396800.

The previous prime is 44946114700679. The next prime is 44946114700699. The reversal of 44946114700680 is 8600741164944.

44946114700680 is a `hidden beast` number, since 4 + 4 + 94 + 6 + 1 + 1 + 470 + 0 + 6 + 80 = 666.

44946114700680 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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 63 ways as a sum of consecutive naturals, for example, 175228204 + ... + 175484516.

It is an arithmetic number, because the mean of its divisors is an integer number (619728804900).

Almost surely, 2^{44946114700680} is an apocalyptic number.

44946114700680 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 44946114700680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79325287027200).

44946114700680 is an abundant number, since it is smaller than the sum of its proper divisors (113704459353720).

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

44946114700680 is a wasteful number, since it uses less digits than its factorization.

44946114700680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265901 (or 265891 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 44946114700680 in words is "forty-four trillion, nine hundred forty-six billion, one hundred fourteen million, seven hundred thousand, six hundred eighty".