201273257091368 has 128 divisors (see below), whose sum is σ = 476615533363200. Its totient is φ = 77401010419200.

The previous prime is 201273257091307. The next prime is 201273257091449. The reversal of 201273257091368 is 863190752372102.

It is a super-2 number, since 2×201273257091368² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 153465908 + ... + 154771868.

It is an arithmetic number, because the mean of its divisors is an integer number (3723558854400).

Almost surely, 2^{201273257091368} is an apocalyptic number.

201273257091368 is a gapful number since it is divisible by the number (28) 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 201273257091368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238307766681600).

201273257091368 is an abundant number, since it is smaller than the sum of its proper divisors (275342276271832).

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

201273257091368 is a wasteful number, since it uses less digits than its factorization.

201273257091368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1309231 (or 1309227 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 56.

The spelling of 201273257091368 in words is "two hundred one trillion, two hundred seventy-three billion, two hundred fifty-seven million, ninety-one thousand, three hundred sixty-eight".