114606314624 has 64 divisors (see below), whose sum is σ = 241384632000. Its totient is φ = 54049876992.

The previous prime is 114606314617. The next prime is 114606314629. The reversal of 114606314624 is 426413606411.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×114606314624² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is not an unprimeable number, because it can be changed into a prime (114606314629) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 454037 + ... + 659819.

It is an arithmetic number, because the mean of its divisors is an integer number (3771634875).

Almost surely, 2^114606314624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114606314624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120692316000).

114606314624 is an abundant number, since it is smaller than the sum of its proper divisors (126778317376).

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

114606314624 is a wasteful number, since it uses less digits than its factorization.

114606314624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206045 (or 206033 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 38.

The spelling of 114606314624 in words is "one hundred fourteen billion, six hundred six million, three hundred fourteen thousand, six hundred twenty-four".