114649785072 has 160 divisors (see below), whose sum is σ = 343720143360. Its totient is φ = 36520450560.

The previous prime is 114649785067. The next prime is 114649785109. The reversal of 114649785072 is 270587946411.

114649785072 is a `hidden beast` number, since 1 + 1 + 4 + 6 + 497 + 85 + 0 + 72 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11789172 + ... + 11798892.

It is an arithmetic number, because the mean of its divisors is an integer number (2148250896).

Almost surely, 2^114649785072 is an apocalyptic number.

114649785072 is a gapful number since it is divisible by the number (12) 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 114649785072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171860071680).

114649785072 is an abundant number, since it is smaller than the sum of its proper divisors (229070358288).

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

114649785072 is a wasteful number, since it uses less digits than its factorization.

114649785072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10948 (or 10936 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 114649785072 in words is "one hundred fourteen billion, six hundred forty-nine million, seven hundred eighty-five thousand, seventy-two".