114891521472 has 1344 divisors, whose sum is σ = 452176896000. Its totient is φ = 28531077120.

The previous prime is 114891521449. The next prime is 114891521483. The reversal of 114891521472 is 274125198411.

It is a happy number.

114891521472 is a `hidden beast` number, since 1 + 1 + 4 + 89 + 1 + 521 + 47 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3105176238 + ... + 3105176274.

Almost surely, 2^114891521472 is an apocalyptic number.

114891521472 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 114891521472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226088448000).

114891521472 is an abundant number, since it is smaller than the sum of its proper divisors (337285374528).

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

114891521472 is a wasteful number, since it uses less digits than its factorization.

114891521472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 93 counting only the distinct ones).

The product of its digits is 161280, while the sum is 45.

The spelling of 114891521472 in words is "one hundred fourteen billion, eight hundred ninety-one million, five hundred twenty-one thousand, four hundred seventy-two".