1901953144 has 64 divisors (see below), whose sum is σ = 4394557440. Its totient is φ = 751489920.

The previous prime is 1901953133. The next prime is 1901953153. The reversal of 1901953144 is 4413591091.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1142857 + ... + 1144519.

It is an arithmetic number, because the mean of its divisors is an integer number (68664960).

Almost surely, 2^1901953144 is an apocalyptic number.

1901953144 is a gapful number since it is divisible by the number (14) 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 1901953144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2197278720).

1901953144 is an abundant number, since it is smaller than the sum of its proper divisors (2492604296).

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

1901953144 is a wasteful number, since it uses less digits than its factorization.

1901953144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3260 (or 3256 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 37.

The square root of 1901953144 is about 43611.3877788818. The cubic root of 1901953144 is about 1238.9865861456.

The spelling of 1901953144 in words is "one billion, nine hundred one million, nine hundred fifty-three thousand, one hundred forty-four".