114867813312 has 280 divisors, whose sum is σ = 397095573600. Its totient is φ = 32818867200.

The previous prime is 114867813301. The next prime is 114867813337. The reversal of 114867813312 is 213318768411.

It is a super-2 number, since 2×114867813312² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1745812 + ... + 1810412.

Almost surely, 2^114867813312 is an apocalyptic number.

114867813312 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 114867813312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198547786800).

114867813312 is an abundant number, since it is smaller than the sum of its proper divisors (282227760288).

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

114867813312 is an frugal number, since it uses more digits than its factorization.

114867813312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64646 (or 64613 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The spelling of 114867813312 in words is "one hundred fourteen billion, eight hundred sixty-seven million, eight hundred thirteen thousand, three hundred twelve".