114664462440 has 256 divisors, whose sum is σ = 379218723840. Its totient is φ = 27505920000.

The previous prime is 114664462417. The next prime is 114664462463. The reversal of 114664462440 is 44264466411.

It is an interprime number because it is at equal distance from previous prime (114664462417) and next prime (114664462463).

It is a super-4 number, since 4×114664462440⁴ (a number of 45 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 114664462392 and 114664462401.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 79023715 + ... + 79025165.

It is an arithmetic number, because the mean of its divisors is an integer number (1481323140).

Almost surely, 2^114664462440 is an apocalyptic number.

114664462440 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 114664462440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189609361920).

114664462440 is an abundant number, since it is smaller than the sum of its proper divisors (264554261400).

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

114664462440 is a wasteful number, since it uses less digits than its factorization.

114664462440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2064 (or 2060 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 42.

The spelling of 114664462440 in words is "one hundred fourteen billion, six hundred sixty-four million, four hundred sixty-two thousand, four hundred forty".