1901256966144 has 170 divisors, whose sum is σ = 5680271112560. Its totient is φ = 633750552576.

The previous prime is 1901256966143. The next prime is 1901256966149. The reversal of 1901256966144 is 4416696521091.

1901256966144 is a `hidden beast` number, since 1 + 9 + 0 + 1 + 2 + 569 + 66 + 14 + 4 = 666.

It is a super-2 number, since 2×1901256966144² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1901256966143) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 5129337 + ... + 5487495.

Almost surely, 2^{1901256966144} 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 1901256966144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2840135556280).

1901256966144 is an abundant number, since it is smaller than the sum of its proper divisors (3779014146416).

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

1901256966144 is an frugal number, since it uses more digits than its factorization.

1901256966144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358203 (or 358164 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 1901256966144 in words is "one trillion, nine hundred one billion, two hundred fifty-six million, nine hundred sixty-six thousand, one hundred forty-four".