1900793233152 has 1152 divisors, whose sum is σ = 6744203182080. Its totient is φ = 521543024640.

The previous prime is 1900793233139. The next prime is 1900793233189. The reversal of 1900793233152 is 2513323970091.

1900793233152 is a `hidden beast` number, since 1 + 9 + 0 + 0 + 7 + 9 + 323 + 315 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×1900793233152² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1900793233098 and 1900793233107.

It is a congruent 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 127 ways as a sum of consecutive naturals, for example, 4070220823 + ... + 4070221289.

It is an arithmetic number, because the mean of its divisors is an integer number (5854343040).

Almost surely, 2^{1900793233152} is an apocalyptic number.

1900793233152 is a gapful number since it is divisible by the number (12) 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 1900793233152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3372101591040).

1900793233152 is an abundant number, since it is smaller than the sum of its proper divisors (4843409948928).

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

1900793233152 is a wasteful number, since it uses less digits than its factorization.

1900793233152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634 (or 614 counting only the distinct ones).

The product of its (nonzero) digits is 306180, while the sum is 45.

The spelling of 1900793233152 in words is "one trillion, nine hundred billion, seven hundred ninety-three million, two hundred thirty-three thousand, one hundred fifty-two".