100139264791488 has 1680 divisors, whose sum is σ = 335299580352000. Its totient is φ = 29522276499456.

The previous prime is 100139264791451. The next prime is 100139264791541. The reversal of 100139264791488 is 884197462931001.

100139264791488 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 3 + 9 + 2 + 64 + 7 + 91 + 488 = 666.

It is a super-2 number, since 2×100139264791488² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 559437233383 + ... + 559437233561.

Almost surely, 2^{100139264791488} is an apocalyptic number.

100139264791488 is a gapful number since it is divisible by the number (18) 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 100139264791488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167649790176000).

100139264791488 is an abundant number, since it is smaller than the sum of its proper divisors (235160315560512).

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

100139264791488 is a wasteful number, since it uses less digits than its factorization.

100139264791488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504 (or 472 counting only the distinct ones).

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

The spelling of 100139264791488 in words is "one hundred trillion, one hundred thirty-nine billion, two hundred sixty-four million, seven hundred ninety-one thousand, four hundred eighty-eight".