10114611552 has 72 divisors (see below), whose sum is σ = 29691305280. Its totient is φ = 3262775040.

The previous prime is 10114611527. The next prime is 10114611553. The reversal of 10114611552 is 25511641101.

10114611552 is a `hidden beast` number, since 101 + 1 + 4 + 6 + 1 + 1 + 552 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10114611553) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 557527 + ... + 575382.

It is an arithmetic number, because the mean of its divisors is an integer number (412379240).

Almost surely, 2^10114611552 is an apocalyptic number.

10114611552 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10114611552 is an abundant number, since it is smaller than the sum of its proper divisors (19576693728).

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

10114611552 is a wasteful number, since it uses less digits than its factorization.

10114611552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1132956 (or 1132945 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 27.

The spelling of 10114611552 in words is "ten billion, one hundred fourteen million, six hundred eleven thousand, five hundred fifty-two".