1901596872256 has 21 divisors (see below), whose sum is σ = 3773503184881. Its totient is φ = 950792920192.

The previous prime is 1901596872251. The next prime is 1901596872277. The reversal of 1901596872256 is 6522786951091.

The square root of 1901596872256 is 1378984.

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

It can be written as a sum of positive squares in only one way, i.e., 1616457960000 + 285138912256 = 1271400^2 + 533984^2 .

It is a super-4 number, since 4×1901596872256⁴ (a number of 50 digits) contains 4444 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1901596872194 and 1901596872203.

It is not an unprimeable number, because it can be changed into a prime (1901596872251) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 10945686 + ... + 11118058.

Almost surely, 2^{1901596872256} is an apocalyptic number.

1901596872256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1901596872256 is the 1378984-th square number.

It is an amenable number.

1901596872256 is a deficient number, since it is larger than the sum of its proper divisors (1871906312625).

1901596872256 is an frugal number, since it uses more digits than its factorization.

1901596872256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344758 (or 172375 counting only the distinct ones).

The product of its (nonzero) digits is 16329600, while the sum is 61.

The spelling of 1901596872256 in words is "one trillion, nine hundred one billion, five hundred ninety-six million, eight hundred seventy-two thousand, two hundred fifty-six".