113177632112640 has 1224 divisors, whose sum is σ = 414574444073088. Its totient is φ = 29651537756160.

The previous prime is 113177632112591. The next prime is 113177632112651. The reversal of 113177632112640 is 46211236771311.

113177632112640 is a `hidden beast` number, since 1 + 1 + 3 + 1 + 7 + 7 + 632 + 1 + 1 + 2 + 6 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 131144416849 + ... + 131144417711.

Almost surely, 2^{113177632112640} is an apocalyptic number.

113177632112640 is a gapful number since it is divisible by the number (10) 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 113177632112640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207287222036544).

113177632112640 is an abundant number, since it is smaller than the sum of its proper divisors (301396811960448).

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

113177632112640 is an frugal number, since it uses more digits than its factorization.

113177632112640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 985 (or 934 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

Adding to 113177632112640 its reverse (46211236771311), we get a palindrome (159388868883951).

The spelling of 113177632112640 in words is "one hundred thirteen trillion, one hundred seventy-seven billion, six hundred thirty-two million, one hundred twelve thousand, six hundred forty".