114878474400 has 144 divisors (see below), whose sum is σ = 374396849568. Its totient is φ = 30595968000.

The previous prime is 114878474383. The next prime is 114878474401. The reversal of 114878474400 is 4474878411.

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

It is a self number, because there is not a number n which added to its sum of digits gives 114878474400.

It is not an unprimeable number, because it can be changed into a prime (114878474401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1916890 + ... + 1975910.

It is an arithmetic number, because the mean of its divisors is an integer number (2599978122).

Almost surely, 2^114878474400 is an apocalyptic number.

114878474400 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 114878474400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187198424784).

114878474400 is an abundant number, since it is smaller than the sum of its proper divisors (259518375168).

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

114878474400 is a wasteful number, since it uses less digits than its factorization.

114878474400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59855 (or 59842 counting only the distinct ones).

The product of its (nonzero) digits is 802816, while the sum is 48.

The spelling of 114878474400 in words is "one hundred fourteen billion, eight hundred seventy-eight million, four hundred seventy-four thousand, four hundred".