101345449814640 has 640 divisors, whose sum is σ = 372146620734720. Its totient is φ = 25261913014272.

The previous prime is 101345449814599. The next prime is 101345449814773. The reversal of 101345449814640 is 46418944543101.

101345449814640 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 4 + 5 + 4 + 498 + 146 + 4 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3396621802 + ... + 3396651638.

It is an arithmetic number, because the mean of its divisors is an integer number (581479094898).

Almost surely, 2^{101345449814640} is an apocalyptic number.

101345449814640 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 101345449814640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186073310367360).

101345449814640 is an abundant number, since it is smaller than the sum of its proper divisors (270801170920080).

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

101345449814640 is a wasteful number, since it uses less digits than its factorization.

101345449814640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30506 (or 30494 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 101345449814640 in words is "one hundred one trillion, three hundred forty-five billion, four hundred forty-nine million, eight hundred fourteen thousand, six hundred forty".