114652215440 has 40 divisors (see below), whose sum is σ = 304647316800. Its totient is φ = 39309330816.

The previous prime is 114652215427. The next prime is 114652215449. The reversal of 114652215440 is 44512256411.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×114652215440³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 114652215440.

It is not an unprimeable number, because it can be changed into a prime (114652215449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 102367490 + ... + 102368609.

It is an arithmetic number, because the mean of its divisors is an integer number (7616182920).

Almost surely, 2^114652215440 is an apocalyptic number.

114652215440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114652215440 is an abundant number, since it is smaller than the sum of its proper divisors (189995101360).

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

114652215440 is a wasteful number, since it uses less digits than its factorization.

114652215440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204736119 (or 204736113 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 35.

The spelling of 114652215440 in words is "one hundred fourteen billion, six hundred fifty-two million, two hundred fifteen thousand, four hundred forty".