114574678064 has 240 divisors, whose sum is σ = 290040186240. Its totient is φ = 43338193920.

The previous prime is 114574678027. The next prime is 114574678073. The reversal of 114574678064 is 460876475411.

It is a junction number, because it is equal to n+sod(n) for n = 114574677997 and 114574678015.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42230372 + ... + 42233084.

It is an arithmetic number, because the mean of its divisors is an integer number (1208500776).

Almost surely, 2^114574678064 is an apocalyptic number.

114574678064 is a gapful number since it is divisible by the number (14) 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 114574678064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145020093120).

114574678064 is an abundant number, since it is smaller than the sum of its proper divisors (175465508176).

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

114574678064 is a wasteful number, since it uses less digits than its factorization.

114574678064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2888 (or 2875 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 53.

The spelling of 114574678064 in words is "one hundred fourteen billion, five hundred seventy-four million, six hundred seventy-eight thousand, sixty-four".