114322977504 has 576 divisors, whose sum is σ = 371314944000. Its totient is φ = 34465720320.

The previous prime is 114322977469. The next prime is 114322977529. The reversal of 114322977504 is 405779223411.

114322977504 is a `hidden beast` number, since 11 + 43 + 2 + 2 + 97 + 7 + 504 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 114322977504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 499226862 + ... + 499227090.

It is an arithmetic number, because the mean of its divisors is an integer number (644644000).

Almost surely, 2^114322977504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114322977504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185657472000).

114322977504 is an abundant number, since it is smaller than the sum of its proper divisors (256991966496).

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

114322977504 is a wasteful number, since it uses less digits than its factorization.

114322977504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 114322977504 in words is "one hundred fourteen billion, three hundred twenty-two million, nine hundred seventy-seven thousand, five hundred four".