10071645199344 has 160 divisors (see below), whose sum is σ = 29844375552000. Its totient is φ = 3248649573120.

The previous prime is 10071645199277. The next prime is 10071645199373. The reversal of 10071645199344 is 44399154617001.

10071645199344 is a `hidden beast` number, since 1 + 0 + 0 + 7 + 164 + 51 + 99 + 344 = 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 31 ways as a sum of consecutive naturals, for example, 220851457 + ... + 220897055.

It is an arithmetic number, because the mean of its divisors is an integer number (186527347200).

Almost surely, 2^{10071645199344} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10071645199344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14922187776000).

10071645199344 is an abundant number, since it is smaller than the sum of its proper divisors (19772730352656).

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

10071645199344 is a wasteful number, since it uses less digits than its factorization.

10071645199344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62140 (or 62128 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 10071645199344 in words is "ten trillion, seventy-one billion, six hundred forty-five million, one hundred ninety-nine thousand, three hundred forty-four".