114726607451136 has 528 divisors, whose sum is σ = 338656099225600. Its totient is φ = 37397658009600.

The previous prime is 114726607451101. The next prime is 114726607451171. The reversal of 114726607451136 is 631154706627411.

It is a happy number.

114726607451136 is a `hidden beast` number, since 1 + 1 + 4 + 7 + 26 + 6 + 0 + 74 + 511 + 36 = 666.

114726607451136 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (114726607451101) and next prime (114726607451171).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 89700239745 + ... + 89700241023.

Almost surely, 2^{114726607451136} is an apocalyptic number.

114726607451136 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 114726607451136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169328049612800).

114726607451136 is an abundant number, since it is smaller than the sum of its proper divisors (223929491774464).

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

114726607451136 is a wasteful number, since it uses less digits than its factorization.

114726607451136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2166 (or 2145 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 114726607451136 in words is "one hundred fourteen trillion, seven hundred twenty-six billion, six hundred seven million, four hundred fifty-one thousand, one hundred thirty-six".