1331415258096 has 160 divisors (see below), whose sum is σ = 4291441901568. Its totient is φ = 345560267520.

The previous prime is 1331415258059. The next prime is 1331415258097. The reversal of 1331415258096 is 6908525141331.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1331415258097) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4768861 + ... + 5040323.

Almost surely, 2^{1331415258096} is an apocalyptic number.

1331415258096 is a gapful number since it is divisible by the number (16) 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 1331415258096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2145720950784).

1331415258096 is an abundant number, since it is smaller than the sum of its proper divisors (2960026643472).

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

1331415258096 is a wasteful number, since it uses less digits than its factorization.

1331415258096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272819 (or 272813 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 48.

The spelling of 1331415258096 in words is "one trillion, three hundred thirty-one billion, four hundred fifteen million, two hundred fifty-eight thousand, ninety-six".