114472592640 has 1296 divisors, whose sum is σ = 497274785280. Its totient is φ = 24153292800.

The previous prime is 114472592617. The next prime is 114472592659. The reversal of 114472592640 is 46295274411.

114472592640 is a `hidden beast` number, since 1 + 14 + 4 + 7 + 2 + 592 + 6 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 758096565 + ... + 758096715.

It is an arithmetic number, because the mean of its divisors is an integer number (383699680).

Almost surely, 2^114472592640 is an apocalyptic number.

114472592640 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 114472592640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248637392640).

114472592640 is an abundant number, since it is smaller than the sum of its proper divisors (382802192640).

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

114472592640 is a wasteful number, since it uses less digits than its factorization.

114472592640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 114472592640 in words is "one hundred fourteen billion, four hundred seventy-two million, five hundred ninety-two thousand, six hundred forty".