1348007256624 has 480 divisors, whose sum is σ = 4199760364800. Its totient is φ = 371269785600.

The previous prime is 1348007256613. The next prime is 1348007256647. The reversal of 1348007256624 is 4266527008431.

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

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, 3862484802 + ... + 3862485150.

It is an arithmetic number, because the mean of its divisors is an integer number (8749500760).

Almost surely, 2^{1348007256624} is an apocalyptic number.

1348007256624 is a gapful number since it is divisible by the number (14) 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 1348007256624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2099880182400).

1348007256624 is an abundant number, since it is smaller than the sum of its proper divisors (2851753108176).

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

1348007256624 is a wasteful number, since it uses less digits than its factorization.

1348007256624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 809 (or 796 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 48.

The spelling of 1348007256624 in words is "one trillion, three hundred forty-eight billion, seven million, two hundred fifty-six thousand, six hundred twenty-four".