1901297664 has 256 divisors, whose sum is σ = 6459129600. Its totient is φ = 541458432.

The previous prime is 1901297653. The next prime is 1901297669. The reversal of 1901297664 is 4667921091.

It is a tau number, because it is divible by the number of its divisors (256).

It is a super-2 number, since 2×1901297664² = 7229865614263713792, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1901297669) 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, 6192999 + ... + 6193305.

It is an arithmetic number, because the mean of its divisors is an integer number (25230975).

Almost surely, 2^1901297664 is an apocalyptic number.

1901297664 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 1901297664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3229564800).

1901297664 is an abundant number, since it is smaller than the sum of its proper divisors (4557831936).

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

1901297664 is an frugal number, since it uses more digits than its factorization.

1901297664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 1901297664 is about 43603.8721216362. The cubic root of 1901297664 is about 1238.8442369953.

The spelling of 1901297664 in words is "one billion, nine hundred one million, two hundred ninety-seven thousand, six hundred sixty-four".