114984504800640 has 384 divisors, whose sum is σ = 428606048894400. Its totient is φ = 28318022025216.

The previous prime is 114984504800623. The next prime is 114984504800701. The reversal of 114984504800640 is 46008405489411.

114984504800640 is a `hidden beast` number, since 1 + 1 + 4 + 98 + 4 + 504 + 8 + 0 + 0 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×114984504800640² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 11122539 + ... + 18806378.

Almost surely, 2^{114984504800640} is an apocalyptic number.

114984504800640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114984504800640 is an abundant number, since it is smaller than the sum of its proper divisors (313621544093760).

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

114984504800640 is a wasteful number, since it uses less digits than its factorization.

114984504800640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29928994 (or 29928979 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 114984504800640 in words is "one hundred fourteen trillion, nine hundred eighty-four billion, five hundred four million, eight hundred thousand, six hundred forty".