113947672320 has 1152 divisors, whose sum is σ = 445036032000. Its totient is φ = 27538882560.

The previous prime is 113947672313. The next prime is 113947672327. The reversal of 113947672320 is 23276749311.

113947672320 is a `hidden beast` number, since 1 + 139 + 476 + 7 + 23 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (113947672313) and next prime (113947672327).

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113947672327) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1931316451 + ... + 1931316509.

It is an arithmetic number, because the mean of its divisors is an integer number (386316000).

Almost surely, 2^113947672320 is an apocalyptic number.

113947672320 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 113947672320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222518016000).

113947672320 is an abundant number, since it is smaller than the sum of its proper divisors (331088359680).

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

113947672320 is a wasteful number, since it uses less digits than its factorization.

113947672320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 113947672320 in words is "one hundred thirteen billion, nine hundred forty-seven million, six hundred seventy-two thousand, three hundred twenty".