114631725957120 has 1440 divisors, whose sum is σ = 436193867805696. Its totient is φ = 27751549501440.

The previous prime is 114631725957107. The next prime is 114631725957143. The reversal of 114631725957120 is 21759527136411.

It is a happy number.

114631725957120 is a `hidden beast` number, since 1 + 1 + 4 + 6 + 3 + 17 + 2 + 59 + 571 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 373393244007 + ... + 373393244313.

Almost surely, 2^{114631725957120} is an apocalyptic number.

114631725957120 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 114631725957120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218096933902848).

114631725957120 is an abundant number, since it is smaller than the sum of its proper divisors (321562141848576).

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

114631725957120 is an frugal number, since it uses more digits than its factorization.

114631725957120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 3175200, while the sum is 54.

The spelling of 114631725957120 in words is "one hundred fourteen trillion, six hundred thirty-one billion, seven hundred twenty-five million, nine hundred fifty-seven thousand, one hundred twenty".