1345557248000 has 576 divisors, whose sum is σ = 3966658244640. Its totient is φ = 454164480000.

The previous prime is 1345557247961. The next prime is 1345557248017. The reversal of 1345557248000 is 8427555431.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 840447200 + ... + 840448800.

Almost surely, 2^{1345557248000} is an apocalyptic number.

1345557248000 is a gapful number since it is divisible by the number (10) 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 1345557248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1983329122320).

1345557248000 is an abundant number, since it is smaller than the sum of its proper divisors (2621100996640).

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

1345557248000 is an equidigital number, since it uses as much as digits as its factorization.

1345557248000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1719 (or 1682 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 44.

The spelling of 1345557248000 in words is "one trillion, three hundred forty-five billion, five hundred fifty-seven million, two hundred forty-eight thousand".