114609653760 has 384 divisors, whose sum is σ = 441112089600. Its totient is φ = 24816844800.

The previous prime is 114609653663. The next prime is 114609653771. The reversal of 114609653760 is 67356906411.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4071735 + ... + 4099785.

It is an arithmetic number, because the mean of its divisors is an integer number (1148729400).

Almost surely, 2^114609653760 is an apocalyptic number.

114609653760 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 114609653760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220556044800).

114609653760 is an abundant number, since it is smaller than the sum of its proper divisors (326502435840).

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

114609653760 is a wasteful number, since it uses less digits than its factorization.

114609653760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28107 (or 28087 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 48.

The spelling of 114609653760 in words is "one hundred fourteen billion, six hundred nine million, six hundred fifty-three thousand, seven hundred sixty".