1613857408128 has 1152 divisors, whose sum is σ = 5759711193600. Its totient is φ = 431941386240.

The previous prime is 1613857408127. The next prime is 1613857408129. The reversal of 1613857408128 is 8218047583161.

1613857408128 is a `hidden beast` number, since 1 + 61 + 3 + 8 + 57 + 408 + 128 = 666.

It is an interprime number because it is at equal distance from previous prime (1613857408127) and next prime (1613857408129).

It is a tau number, because it is divible by the number of its divisors (1152).

It is not an unprimeable number, because it can be changed into a prime (1613857408127) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7237028625 + ... + 7237028847.

It is an arithmetic number, because the mean of its divisors is an integer number (4999749300).

Almost surely, 2^{1613857408128} is an apocalyptic number.

1613857408128 is a gapful number since it is divisible by the number (18) 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 1613857408128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2879855596800).

1613857408128 is an abundant number, since it is smaller than the sum of its proper divisors (4145853785472).

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

1613857408128 is a wasteful number, since it uses less digits than its factorization.

1613857408128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The spelling of 1613857408128 in words is "one trillion, six hundred thirteen billion, eight hundred fifty-seven million, four hundred eight thousand, one hundred twenty-eight".