114764627250 has 1280 divisors, whose sum is σ = 426204979200. Its totient is φ = 22861440000.

The previous prime is 114764627249. The next prime is 114764627261. The reversal of 114764627250 is 52726467411.

114764627250 is a `hidden beast` number, since 1 + 1 + 4 + 76 + 462 + 72 + 50 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 114764627196 and 114764627205.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 2799137230 + ... + 2799137270.

It is an arithmetic number, because the mean of its divisors is an integer number (332972640).

Almost surely, 2^114764627250 is an apocalyptic number.

114764627250 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 114764627250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213102489600).

114764627250 is an abundant number, since it is smaller than the sum of its proper divisors (311440351950).

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

114764627250 is a wasteful number, since it uses less digits than its factorization.

114764627250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 114764627250 in words is "one hundred fourteen billion, seven hundred sixty-four million, six hundred twenty-seven thousand, two hundred fifty".