15412713135456 has 192 divisors, whose sum is σ = 49815640659456. Its totient is φ = 4063199846400.

The previous prime is 15412713135451. The next prime is 15412713135503. The reversal of 15412713135456 is 65453131721451.

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 (15412713135451) 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, 20696616 + ... + 21428376.

It is an arithmetic number, because the mean of its divisors is an integer number (259456461768).

Almost surely, 2^{15412713135456} is an apocalyptic number.

15412713135456 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 15412713135456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24907820329728).

15412713135456 is an abundant number, since it is smaller than the sum of its proper divisors (34402927524000).

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

15412713135456 is a wasteful number, since it uses less digits than its factorization.

15412713135456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 734205 (or 734197 counting only the distinct ones).

The product of its digits is 1512000, while the sum is 48.

The spelling of 15412713135456 in words is "fifteen trillion, four hundred twelve billion, seven hundred thirteen million, one hundred thirty-five thousand, four hundred fifty-six".