1356172044304 has 405 divisors, whose sum is σ = 3563749340991. Its totient is φ = 498053888640.

The previous prime is 1356172044277. The next prime is 1356172044317. The reversal of 1356172044304 is 4034402716531.

The square root of 1356172044304 is 1164548.

It is a perfect power (a square), and thus also a powerful number.

It is a super-2 number, since 2×1356172044304² (a number of 25 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 6814934797 + ... + 6814934995.

Almost surely, 2^{1356172044304} is an apocalyptic number.

1356172044304 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1356172044304 is the 1164548-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1356172044304

1356172044304 is an abundant number, since it is smaller than the sum of its proper divisors (2207577296687).

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

1356172044304 is a wasteful number, since it uses less digits than its factorization.

1356172044304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 40.

The spelling of 1356172044304 in words is "one trillion, three hundred fifty-six billion, one hundred seventy-two million, forty-four thousand, three hundred four".