114947776512 has 280 divisors, whose sum is σ = 345451020552. Its totient is φ = 38087884800.

The previous prime is 114947776477. The next prime is 114947776547. The reversal of 114947776512 is 215677749411.

114947776512 is a `hidden beast` number, since 1 + 1 + 494 + 77 + 76 + 5 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (114947776477) and next prime (114947776547).

It is a super-2 number, since 2×114947776512² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 140009062 + ... + 140009882.

Almost surely, 2^114947776512 is an apocalyptic number.

114947776512 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 114947776512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172725510276).

114947776512 is an abundant number, since it is smaller than the sum of its proper divisors (230503244040).

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

114947776512 is an frugal number, since it uses more digits than its factorization.

114947776512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1070 (or 1037 counting only the distinct ones).

The product of its digits is 2963520, while the sum is 54.

The spelling of 114947776512 in words is "one hundred fourteen billion, nine hundred forty-seven million, seven hundred seventy-six thousand, five hundred twelve".