100814661339840 has 3360 divisors, whose sum is σ = 449266563187200. Its totient is φ = 21332466892800.

The previous prime is 100814661339811. The next prime is 100814661339883. The reversal of 100814661339840 is 48933166418001.

100814661339840 is a `hidden beast` number, since 1 + 0 + 0 + 8 + 1 + 466 + 133 + 9 + 8 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (3360).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 479 ways as a sum of consecutive naturals, for example, 266001744771 + ... + 266001745149.

Almost surely, 2^{100814661339840} is an apocalyptic number.

100814661339840 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 100814661339840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224633281593600).

100814661339840 is an abundant number, since it is smaller than the sum of its proper divisors (348451901847360).

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

100814661339840 is a wasteful number, since it uses less digits than its factorization.

100814661339840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 665 (or 639 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 100814661339840 in words is "one hundred trillion, eight hundred fourteen billion, six hundred sixty-one million, three hundred thirty-nine thousand, eight hundred forty".