101376258048 has 416 divisors, whose sum is σ = 326958508800. Its totient is φ = 30854283264.

The previous prime is 101376258047. The next prime is 101376258121. The reversal of 101376258048 is 840852673101.

101376258048 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 7 + 62 + 580 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (416).

It is a junction number, because it is equal to n+sod(n) for n = 101376257994 and 101376258012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101376258047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 153833143 + ... + 153833801.

Almost surely, 2^101376258048 is an apocalyptic number.

101376258048 is a gapful number since it is divisible by the number (18) 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 101376258048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163479254400).

101376258048 is an abundant number, since it is smaller than the sum of its proper divisors (225582250752).

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

101376258048 is a wasteful number, since it uses less digits than its factorization.

101376258048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 812 (or 784 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 101376258048 in words is "one hundred one billion, three hundred seventy-six million, two hundred fifty-eight thousand, forty-eight".