1901926974816 has 240 divisors, whose sum is σ = 6132697401600. Its totient is φ = 573443608320.

The previous prime is 1901926974809. The next prime is 1901926974917. The reversal of 1901926974816 is 6184796291091.

1901926974816 is a `hidden beast` number, since 1 + 9 + 0 + 1 + 92 + 69 + 7 + 481 + 6 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5506285 + ... + 5841491.

It is an arithmetic number, because the mean of its divisors is an integer number (25552905840).

Almost surely, 2^{1901926974816} is an apocalyptic number.

1901926974816 is a gapful number since it is divisible by the number (16) 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 1901926974816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3066348700800).

1901926974816 is an abundant number, since it is smaller than the sum of its proper divisors (4230770426784).

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

1901926974816 is a wasteful number, since it uses less digits than its factorization.

1901926974816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335439 (or 335422 counting only the distinct ones).

The product of its (nonzero) digits is 11757312, while the sum is 63.

The spelling of 1901926974816 in words is "one trillion, nine hundred one billion, nine hundred twenty-six million, nine hundred seventy-four thousand, eight hundred sixteen".