114117264277632 has 4608 divisors, whose sum is σ = 474617080627200. Its totient is φ = 26808761548800.

The previous prime is 114117264277613. The next prime is 114117264277633. The reversal of 114117264277632 is 236772462711411.

114117264277632 is a `hidden beast` number, since 1 + 1 + 4 + 117 + 2 + 6 + 427 + 76 + 32 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (114117264277633) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 1066516488523 + ... + 1066516488629.

It is an arithmetic number, because the mean of its divisors is an integer number (102998498400).

Almost surely, 2^{114117264277632} is an apocalyptic number.

114117264277632 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 114117264277632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237308540313600).

114117264277632 is an abundant number, since it is smaller than the sum of its proper divisors (360499816349568).

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

114117264277632 is a wasteful number, since it uses less digits than its factorization.

114117264277632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 257 counting only the distinct ones).

The product of its digits is 4741632, while the sum is 54.

The spelling of 114117264277632 in words is "one hundred fourteen trillion, one hundred seventeen billion, two hundred sixty-four million, two hundred seventy-seven thousand, six hundred thirty-two".