114620538942000 has 1600 divisors, whose sum is σ = 516015839539200. Its totient is φ = 23877309081600.

The previous prime is 114620538941959. The next prime is 114620538942047. The reversal of 114620538942000 is 249835026411.

114620538942000 is a `hidden beast` number, since 1 + 1 + 4 + 6 + 2 + 0 + 538 + 94 + 20 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 1164568791 + ... + 1164667209.

It is an arithmetic number, because the mean of its divisors is an integer number (322509899712).

Almost surely, 2^{114620538942000} is an apocalyptic number.

114620538942000 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 114620538942000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258007919769600).

114620538942000 is an abundant number, since it is smaller than the sum of its proper divisors (401395300597200).

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

114620538942000 is a wasteful number, since it uses less digits than its factorization.

114620538942000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98553 (or 98528 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 114620538942000 in words is "one hundred fourteen trillion, six hundred twenty billion, five hundred thirty-eight million, nine hundred forty-two thousand".