100369541664 has 480 divisors, whose sum is σ = 356536857600. Its totient is φ = 27058613760.

The previous prime is 100369541659. The next prime is 100369541689. The reversal of 100369541664 is 466145963001.

100369541664 is a `hidden beast` number, since 10 + 0 + 36 + 9 + 541 + 6 + 64 = 666.

It is a super-3 number, since 3×100369541664³ (a number of 34 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 123759819 + ... + 123760629.

It is an arithmetic number, because the mean of its divisors is an integer number (742785120).

Almost surely, 2^100369541664 is an apocalyptic number.

100369541664 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 100369541664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178268428800).

100369541664 is an abundant number, since it is smaller than the sum of its proper divisors (256167315936).

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

100369541664 is a wasteful number, since it uses less digits than its factorization.

100369541664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1218 (or 1201 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 100369541664 in words is "one hundred billion, three hundred sixty-nine million, five hundred forty-one thousand, six hundred sixty-four".