1915159314432 has 456 divisors, whose sum is σ = 6399556173696. Its totient is φ = 504964841472.

The previous prime is 1915159314391. The next prime is 1915159314479. The reversal of 1915159314432 is 2344139515191.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 500955273 + ... + 500959095.

It is an arithmetic number, because the mean of its divisors is an integer number (14034114416).

Almost surely, 2^{1915159314432} is an apocalyptic number.

1915159314432 is a gapful number since it is divisible by the number (12) 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 1915159314432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3199778086848).

1915159314432 is an abundant number, since it is smaller than the sum of its proper divisors (4484396859264).

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

1915159314432 is an frugal number, since it uses more digits than its factorization.

1915159314432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3889 (or 3848 counting only the distinct ones).

The product of its digits is 583200, while the sum is 48.

The spelling of 1915159314432 in words is "one trillion, nine hundred fifteen billion, one hundred fifty-nine million, three hundred fourteen thousand, four hundred thirty-two".