114190264320 has 384 divisors, whose sum is σ = 409346421120. Its totient is φ = 26931363840.

The previous prime is 114190264291. The next prime is 114190264333. The reversal of 114190264320 is 23462091411.

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 (33).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12498474 + ... + 12507606.

It is an arithmetic number, because the mean of its divisors is an integer number (1066006305).

Almost surely, 2^114190264320 is an apocalyptic number.

114190264320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a pronic number, being equal to 337920×337921.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114190264320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204673210560).

114190264320 is an abundant number, since it is smaller than the sum of its proper divisors (295156156800).

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

114190264320 is a wasteful number, since it uses less digits than its factorization.

114190264320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9211 (or 9191 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The spelling of 114190264320 in words is "one hundred fourteen billion, one hundred ninety million, two hundred sixty-four thousand, three hundred twenty".