1900946047504 has 135 divisors (see below), whose sum is σ = 4395108521223. Its totient is φ = 794158848000.

The previous prime is 1900946047457. The next prime is 1900946047547. The reversal of 1900946047504 is 4057406490091.

The square root of 1900946047504 is 1378748.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1773297049104 + 127648998400 = 1331652^2 + 357280^2 .

It is a super-2 number, since 2×1900946047504² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1582802104 + ... + 1582803304.

Almost surely, 2^{1900946047504} is an apocalyptic number.

1900946047504 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1900946047504 is the 1378748-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1900946047504

1900946047504 is an abundant number, since it is smaller than the sum of its proper divisors (2494162473719).

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

1900946047504 is an frugal number, since it uses more digits than its factorization.

1900946047504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2506 (or 1251 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 49.

Multiplying 1900946047504 by its sum of digits (49), we get a square (93146356327696 = 9651236²).

1900946047504 divided by its sum of digits (49) gives a square (38794817296 = 196964²).

The spelling of 1900946047504 in words is "one trillion, nine hundred billion, nine hundred forty-six million, forty-seven thousand, five hundred four".