114772427000 has 256 divisors, whose sum is σ = 335906887680. Its totient is φ = 35659008000.

The previous prime is 114772426973. The next prime is 114772427027. The reversal of 114772427000 is 724277411.

114772427000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (114772426973) and next prime (114772427027).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25946789 + ... + 25951211.

It is an arithmetic number, because the mean of its divisors is an integer number (1312136280).

Almost surely, 2^114772427000 is an apocalyptic number.

114772427000 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 114772427000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167953443840).

114772427000 is an abundant number, since it is smaller than the sum of its proper divisors (221134460680).

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

114772427000 is a wasteful number, since it uses less digits than its factorization.

114772427000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4799 (or 4785 counting only the distinct ones).

The product of its (nonzero) digits is 21952, while the sum is 35.

The spelling of 114772427000 in words is "one hundred fourteen billion, seven hundred seventy-two million, four hundred twenty-seven thousand".