114567994878736 has 135 divisors (see below), whose sum is σ = 259419570077703. Its totient is φ = 48872838504000.

The previous prime is 114567994878721. The next prime is 114567994878761. The reversal of 114567994878736 is 637878499765411.

The square root of 114567994878736 is 10703644.

It is a perfect power (a square), and thus also a powerful 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 26 ways as a sum of consecutive naturals, for example, 75225209271 + ... + 75225210793.

Almost surely, 2^{114567994878736} is an apocalyptic number.

114567994878736 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

114567994878736 is the 10703644-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114567994878736

114567994878736 is an abundant number, since it is smaller than the sum of its proper divisors (144851575198967).

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

114567994878736 is an frugal number, since it uses more digits than its factorization.

114567994878736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3570 (or 1783 counting only the distinct ones).

The product of its digits is 15362887680, while the sum is 85.

The spelling of 114567994878736 in words is "one hundred fourteen trillion, five hundred sixty-seven billion, nine hundred ninety-four million, eight hundred seventy-eight thousand, seven hundred thirty-six".