1345901356800 has 3456 divisors, whose sum is σ = 6867400458240. Its totient is φ = 248832000000.

The previous prime is 1345901356781. The next prime is 1345901356843. The reversal of 1345901356800 is 86531095431.

1345901356800 is a `hidden beast` number, since 1 + 3 + 4 + 590 + 1 + 3 + 56 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a super-2 number, since 2×1345901356800² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 5362156675 + ... + 5362156925.

It is an arithmetic number, because the mean of its divisors is an integer number (1987095040).

Almost surely, 2^{1345901356800} is an apocalyptic number.

1345901356800 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 1345901356800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3433700229120).

1345901356800 is an abundant number, since it is smaller than the sum of its proper divisors (5521499101440).

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

1345901356800 is a wasteful number, since it uses less digits than its factorization.

1345901356800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 1345901356800 in words is "one trillion, three hundred forty-five billion, nine hundred one million, three hundred fifty-six thousand, eight hundred".