114417367680 has 1728 divisors, whose sum is σ = 513136663200. Its totient is φ = 21544427520.

The previous prime is 114417367667. The next prime is 114417367697. The reversal of 114417367680 is 86763714411.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 4974668149 + ... + 4974668171.

Almost surely, 2^114417367680 is an apocalyptic number.

114417367680 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 114417367680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256568331600).

114417367680 is an abundant number, since it is smaller than the sum of its proper divisors (398719295520).

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

114417367680 is a wasteful number, since it uses less digits than its factorization.

114417367680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 48.

The spelling of 114417367680 in words is "one hundred fourteen billion, four hundred seventeen million, three hundred sixty-seven thousand, six hundred eighty".