1613088981504 has 2400 divisors, whose sum is σ = 6741321206400. Its totient is φ = 380414361600.

The previous prime is 1613088981487. The next prime is 1613088981523. The reversal of 1613088981504 is 4051898803161.

It is a happy number.

1613088981504 is a `hidden beast` number, since 1 + 613 + 0 + 8 + 8 + 9 + 8 + 15 + 0 + 4 = 666.

It is a super-4 number, since 4×1613088981504⁴ (a number of 50 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

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

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 26444081634 + ... + 26444081694.

It is an arithmetic number, because the mean of its divisors is an integer number (2808883836).

Almost surely, 2^{1613088981504} is an apocalyptic number.

1613088981504 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 1613088981504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3370660603200).

1613088981504 is an abundant number, since it is smaller than the sum of its proper divisors (5128232224896).

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

1613088981504 is an equidigital number, since it uses as much as digits as its factorization.

1613088981504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 54.

The spelling of 1613088981504 in words is "one trillion, six hundred thirteen billion, eighty-eight million, nine hundred eighty-one thousand, five hundred four".