113476688640 has 576 divisors, whose sum is σ = 467146552320. Its totient is φ = 25546752000.

The previous prime is 113476688629. The next prime is 113476688653. The reversal of 113476688640 is 46886674311.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 63 ways as a sum of consecutive naturals, for example, 16205140 + ... + 16212140.

It is an arithmetic number, because the mean of its divisors is an integer number (811018320).

Almost surely, 2^113476688640 is an apocalyptic number.

113476688640 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 113476688640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233573276160).

113476688640 is an abundant number, since it is smaller than the sum of its proper divisors (353669863680).

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

113476688640 is an equidigital number, since it uses as much as digits as its factorization.

113476688640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7105 (or 7085 counting only the distinct ones).

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

The spelling of 113476688640 in words is "one hundred thirteen billion, four hundred seventy-six million, six hundred eighty-eight thousand, six hundred forty".