114736145760 has 192 divisors, whose sum is σ = 401868734400. Its totient is φ = 30574043136.

The previous prime is 114736145759. The next prime is 114736145801. The reversal of 114736145760 is 67541637411.

It is a happy number.

114736145760 is a `hidden beast` number, since 1 + 1 + 4 + 73 + 6 + 1 + 4 + 576 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6423562 + ... + 6441398.

It is an arithmetic number, because the mean of its divisors is an integer number (2093066325).

Almost surely, 2^114736145760 is an apocalyptic number.

114736145760 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 114736145760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200934367200).

114736145760 is an abundant number, since it is smaller than the sum of its proper divisors (287132588640).

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

114736145760 is a wasteful number, since it uses less digits than its factorization.

114736145760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19350 (or 19336 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 114736145760 in words is "one hundred fourteen billion, seven hundred thirty-six million, one hundred forty-five thousand, seven hundred sixty".