1901162058656 has 96 divisors (see below), whose sum is σ = 4362820737408. Its totient is φ = 798691000320.

The previous prime is 1901162058629. The next prime is 1901162058659. The reversal of 1901162058656 is 6568502611091.

It is a happy number.

It is a super-2 number, since 2×1901162058656² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1901162058659) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2308736 + ... + 3022016.

It is an arithmetic number, because the mean of its divisors is an integer number (45446049348).

Almost surely, 2^{1901162058656} is an apocalyptic number.

1901162058656 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 1901162058656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2181410368704).

1901162058656 is an abundant number, since it is smaller than the sum of its proper divisors (2461658678752).

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

1901162058656 is a wasteful number, since it uses less digits than its factorization.

1901162058656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 713534 (or 713526 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 50.

The spelling of 1901162058656 in words is "one trillion, nine hundred one billion, one hundred sixty-two million, fifty-eight thousand, six hundred fifty-six".