100572046848 has 1080 divisors, whose sum is σ = 385619506272. Its totient is φ = 25960144896.

The previous prime is 100572046811. The next prime is 100572046871. The reversal of 100572046848 is 848640275001.

100572046848 is a `hidden beast` number, since 10 + 0 + 572 + 0 + 4 + 68 + 4 + 8 = 666.

It is a super-2 number, since 2×100572046848² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 2139830761 + ... + 2139830807.

Almost surely, 2^100572046848 is an apocalyptic number.

100572046848 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 100572046848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192809753136).

100572046848 is an abundant number, since it is smaller than the sum of its proper divisors (285047459424).

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

100572046848 is an frugal number, since it uses more digits than its factorization.

100572046848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 100572046848 in words is "one hundred billion, five hundred seventy-two million, forty-six thousand, eight hundred forty-eight".