114070520678400 has 2304 divisors, whose sum is σ = 494234866944000. Its totient is φ = 25423596748800.

The previous prime is 114070520678383. The next prime is 114070520678419. The reversal of 114070520678400 is 4876025070411.

114070520678400 is a `hidden beast` number, since 1 + 1 + 40 + 7 + 0 + 520 + 6 + 7 + 84 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 55944344581 + ... + 55944346619.

It is an arithmetic number, because the mean of its divisors is an integer number (214511661000).

Almost surely, 2^{114070520678400} is an apocalyptic number.

114070520678400 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 114070520678400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247117433472000).

114070520678400 is an abundant number, since it is smaller than the sum of its proper divisors (380164346265600).

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

114070520678400 is a wasteful number, since it uses less digits than its factorization.

114070520678400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2387 (or 2356 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 114070520678400 in words is "one hundred fourteen trillion, seventy billion, five hundred twenty million, six hundred seventy-eight thousand, four hundred".