101491843690944 has 336 divisors, whose sum is σ = 347813347714560. Its totient is φ = 27665588459520.

The previous prime is 101491843690847. The next prime is 101491843690957. The reversal of 101491843690944 is 449096348194101.

101491843690944 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 9 + 184 + 369 + 0 + 94 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×101491843690944² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34667599 + ... + 37481009.

It is an arithmetic number, because the mean of its divisors is an integer number (1035158772960).

Almost surely, 2^{101491843690944} is an apocalyptic number.

101491843690944 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 101491843690944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173906673857280).

101491843690944 is an abundant number, since it is smaller than the sum of its proper divisors (246321504023616).

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

101491843690944 is a wasteful number, since it uses less digits than its factorization.

101491843690944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2813848 (or 2813835 counting only the distinct ones).

The product of its (nonzero) digits is 26873856, while the sum is 63.

The spelling of 101491843690944 in words is "one hundred one trillion, four hundred ninety-one billion, eight hundred forty-three million, six hundred ninety thousand, nine hundred forty-four".