114820772000 has 144 divisors (see below), whose sum is σ = 310094255016. Its totient is φ = 41752832000.

The previous prime is 114820771999. The next prime is 114820772021. The reversal of 114820772000 is 277028411.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 75842956816 + 38977815184 = 275396^2 + 197428^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 365384 + ... + 602616.

Almost surely, 2^114820772000 is an apocalyptic number.

114820772000 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 114820772000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155047127508).

114820772000 is an abundant number, since it is smaller than the sum of its proper divisors (195273483016).

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

114820772000 is a wasteful number, since it uses less digits than its factorization.

114820772000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237280 (or 237251 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 32.

The spelling of 114820772000 in words is "one hundred fourteen billion, eight hundred twenty million, seven hundred seventy-two thousand".