13451088408576 has 1248 divisors, whose sum is σ = 48258132295680. Its totient is φ = 3250343116800.

The previous prime is 13451088408551. The next prime is 13451088408613. The reversal of 13451088408576 is 67580488015431.

It is a tau number, because it is divible by the number of its divisors (1248).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8562117871 + ... + 8562119441.

Almost surely, 2^{13451088408576} is an apocalyptic number.

13451088408576 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 13451088408576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24129066147840).

13451088408576 is an abundant number, since it is smaller than the sum of its proper divisors (34807043887104).

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

13451088408576 is a wasteful number, since it uses less digits than its factorization.

13451088408576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1681 (or 1646 counting only the distinct ones).

The product of its (nonzero) digits is 25804800, while the sum is 60.

The spelling of 13451088408576 in words is "thirteen trillion, four hundred fifty-one billion, eighty-eight million, four hundred eight thousand, five hundred seventy-six".