1613763295104 has 256 divisors, whose sum is σ = 4631478912000. Its totient is φ = 496762527744.

The previous prime is 1613763295069. The next prime is 1613763295147. The reversal of 1613763295104 is 4015923673161.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 24276697 + ... + 24343079.

It is an arithmetic number, because the mean of its divisors is an integer number (18091714500).

Almost surely, 2^{1613763295104} 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 1613763295104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2315739456000).

1613763295104 is an abundant number, since it is smaller than the sum of its proper divisors (3017715616896).

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

1613763295104 is a wasteful number, since it uses less digits than its factorization.

1613763295104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66525 (or 66513 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 48.

The spelling of 1613763295104 in words is "one trillion, six hundred thirteen billion, seven hundred sixty-three million, two hundred ninety-five thousand, one hundred four".