113177385611136 has 1536 divisors, whose sum is σ = 427078976163840. Its totient is φ = 27918729216000.

The previous prime is 113177385611117. The next prime is 113177385611161. The reversal of 113177385611136 is 631116583771311.

113177385611136 is a `hidden beast` number, since 1 + 1 + 3 + 1 + 7 + 7 + 3 + 8 + 5 + 611 + 13 + 6 = 666.

It is a super-2 number, since 2×113177385611136² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 33673722096 + ... + 33673725456.

It is an arithmetic number, because the mean of its divisors is an integer number (278046208440).

Almost surely, 2^{113177385611136} is an apocalyptic number.

113177385611136 is a gapful number since it is divisible by the number (16) 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 113177385611136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213539488081920).

113177385611136 is an abundant number, since it is smaller than the sum of its proper divisors (313901590552704).

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

113177385611136 is a wasteful number, since it uses less digits than its factorization.

113177385611136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3684 (or 3669 counting only the distinct ones).

The product of its digits is 1905120, while the sum is 54.

The spelling of 113177385611136 in words is "one hundred thirteen trillion, one hundred seventy-seven billion, three hundred eighty-five million, six hundred eleven thousand, one hundred thirty-six".