114877647360 has 1920 divisors, whose sum is σ = 521630613504. Its totient is φ = 23648993280.

The previous prime is 114877647359. The next prime is 114877647457. The reversal of 114877647360 is 63746778411.

It is a happy number.

114877647360 is a `hidden beast` number, since 1 + 1 + 48 + 7 + 76 + 473 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 114877647297 and 114877647306.

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 191 ways as a sum of consecutive naturals, for example, 3104801262 + ... + 3104801298.

Almost surely, 2^114877647360 is an apocalyptic number.

114877647360 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 114877647360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260815306752).

114877647360 is an abundant number, since it is smaller than the sum of its proper divisors (406752966144).

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

114877647360 is an equidigital number, since it uses as much as digits as its factorization.

114877647360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 4741632, while the sum is 54.

The spelling of 114877647360 in words is "one hundred fourteen billion, eight hundred seventy-seven million, six hundred forty-seven thousand, three hundred sixty".