1890746001936 has 225 divisors, whose sum is σ = 5826725723455. Its totient is φ = 572348314560.

The previous prime is 1890746001889. The next prime is 1890746001959. The reversal of 1890746001936 is 6391006470981.

The square root of 1890746001936 is 1375044.

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

1890746001936 is a `hidden beast` number, since 1 + 8 + 90 + 7 + 460 + 0 + 1 + 93 + 6 = 666.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1996563415 + ... + 1996564361.

Almost surely, 2^{1890746001936} is an apocalyptic number.

1890746001936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1890746001936 is the 1375044-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1890746001936

1890746001936 is an abundant number, since it is smaller than the sum of its proper divisors (3935979721519).

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

1890746001936 is an frugal number, since it uses more digits than its factorization.

1890746001936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1952 (or 963 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 1890746001936 in words is "one trillion, eight hundred ninety billion, seven hundred forty-six million, one thousand, nine hundred thirty-six".