114532669440 has 1536 divisors, whose sum is σ = 507219148800. Its totient is φ = 23940956160.

The previous prime is 114532669423. The next prime is 114532669469. The reversal of 114532669440 is 44966235411.

114532669440 is a `hidden beast` number, since 1 + 14 + 532 + 6 + 69 + 4 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

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 127 ways as a sum of consecutive naturals, for example, 1379911639 + ... + 1379911721.

It is an arithmetic number, because the mean of its divisors is an integer number (330220800).

Almost surely, 2^114532669440 is an apocalyptic number.

114532669440 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 114532669440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253609574400).

114532669440 is an abundant number, since it is smaller than the sum of its proper divisors (392686479360).

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

114532669440 is a wasteful number, since it uses less digits than its factorization.

114532669440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 114532669440 in words is "one hundred fourteen billion, five hundred thirty-two million, six hundred sixty-nine thousand, four hundred forty".