1901478918768 has 480 divisors, whose sum is σ = 6184519790400. Its totient is φ = 498331975680.

The previous prime is 1901478918673. The next prime is 1901478918793. The reversal of 1901478918768 is 8678198741091.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 293933838 + ... + 293940306.

It is an arithmetic number, because the mean of its divisors is an integer number (12884416230).

Almost surely, 2^{1901478918768} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1901478918768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3092259895200).

1901478918768 is an abundant number, since it is smaller than the sum of its proper divisors (4283040871632).

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

1901478918768 is a wasteful number, since it uses less digits than its factorization.

1901478918768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6761 (or 6744 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 69.

The spelling of 1901478918768 in words is "one trillion, nine hundred one billion, four hundred seventy-eight million, nine hundred eighteen thousand, seven hundred sixty-eight".