1901873256192 has 864 divisors, whose sum is σ = 6880606398848. Its totient is φ = 491899060224.

The previous prime is 1901873256137. The next prime is 1901873256197. The reversal of 1901873256192 is 2916523781091.

It is a happy number.

1901873256192 is a `hidden beast` number, since 1 + 9 + 0 + 1 + 8 + 73 + 2 + 561 + 9 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1901873256197) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4790612538 + ... + 4790612934.

Almost surely, 2^{1901873256192} is an apocalyptic number.

1901873256192 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 1901873256192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3440303199424).

1901873256192 is an abundant number, since it is smaller than the sum of its proper divisors (4978733142656).

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

1901873256192 is a wasteful number, since it uses less digits than its factorization.

1901873256192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 825 (or 808 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 54.

The spelling of 1901873256192 in words is "one trillion, nine hundred one billion, eight hundred seventy-three million, two hundred fifty-six thousand, one hundred ninety-two".