101376469856844 has 384 divisors, whose sum is σ = 343519158528000. Its totient is φ = 25105299480576.

The previous prime is 101376469856813. The next prime is 101376469856861. The reversal of 101376469856844 is 448658964673101.

101376469856844 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 7 + 6 + 469 + 85 + 6 + 84 + 4 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 18698512 + ... + 23502920.

It is an arithmetic number, because the mean of its divisors is an integer number (894581142000).

Almost surely, 2^{101376469856844} is an apocalyptic number.

101376469856844 is a gapful number since it is divisible by the number (14) 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 101376469856844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171759579264000).

101376469856844 is an abundant number, since it is smaller than the sum of its proper divisors (242142688671156).

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

101376469856844 is a wasteful number, since it uses less digits than its factorization.

101376469856844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4804574 (or 4804566 counting only the distinct ones).

The product of its (nonzero) digits is 836075520, while the sum is 72.

The spelling of 101376469856844 in words is "one hundred one trillion, three hundred seventy-six billion, four hundred sixty-nine million, eight hundred fifty-six thousand, eight hundred forty-four".