100114684059264 has 576 divisors, whose sum is σ = 335309795480160. Its totient is φ = 26366247677952.

The previous prime is 100114684059233. The next prime is 100114684059281. The reversal of 100114684059264 is 462950486411001.

It is a super-3 number, since 3×100114684059264³ (a number of 43 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 251126139 + ... + 251524485.

Almost surely, 2^{100114684059264} is an apocalyptic number.

100114684059264 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 100114684059264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167654897740080).

100114684059264 is an abundant number, since it is smaller than the sum of its proper divisors (235195111420896).

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

100114684059264 is a wasteful number, since it uses less digits than its factorization.

100114684059264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398453 (or 398415 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 51.

The spelling of 100114684059264 in words is "one hundred trillion, one hundred fourteen billion, six hundred eighty-four million, fifty-nine thousand, two hundred sixty-four".