114974698608000 has 3072 divisors, whose sum is σ = 527913722419200. Its totient is φ = 23287799808000.

The previous prime is 114974698607999. The next prime is 114974698608059. The reversal of 114974698608000 is 806896479411.

114974698608000 is a `hidden beast` number, since 1 + 1 + 4 + 97 + 469 + 8 + 6 + 0 + 80 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 105191855454 + ... + 105191856546.

It is an arithmetic number, because the mean of its divisors is an integer number (171846914850).

Almost surely, 2^{114974698608000} is an apocalyptic number.

114974698608000 is a gapful number since it is divisible by the number (10) 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 114974698608000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263956861209600).

114974698608000 is an abundant number, since it is smaller than the sum of its proper divisors (412939023811200).

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

114974698608000 is a wasteful number, since it uses less digits than its factorization.

114974698608000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1378 (or 1353 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 63.

The spelling of 114974698608000 in words is "one hundred fourteen trillion, nine hundred seventy-four billion, six hundred ninety-eight million, six hundred eight thousand".