114361379280 has 440 divisors, whose sum is σ = 408833127648. Its totient is φ = 29734242048.

The previous prime is 114361379267. The next prime is 114361379299. The reversal of 114361379280 is 82973163411.

114361379280 is a `hidden beast` number, since 1 + 1 + 4 + 3 + 613 + 7 + 9 + 28 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 87 ways as a sum of consecutive naturals, for example, 203128279 + ... + 203128841.

Almost surely, 2^114361379280 is an apocalyptic number.

114361379280 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 114361379280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204416563824).

114361379280 is an abundant number, since it is smaller than the sum of its proper divisors (294471748368).

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

114361379280 is an frugal number, since it uses more digits than its factorization.

114361379280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 649 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 114361379280 in words is "one hundred fourteen billion, three hundred sixty-one million, three hundred seventy-nine thousand, two hundred eighty".