1901216717568 has 1440 divisors, whose sum is σ = 7239747271680. Its totient is φ = 483490529280.

The previous prime is 1901216717527. The next prime is 1901216717627. The reversal of 1901216717568 is 8657176121091.

1901216717568 is a `hidden beast` number, since 1 + 9 + 0 + 1 + 2 + 1 + 6 + 71 + 7 + 568 = 666.

It is a super-2 number, since 2×1901216717568² (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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 7888865928 + ... + 7888866168.

It is an arithmetic number, because the mean of its divisors is an integer number (5027602272).

Almost surely, 2^{1901216717568} is an apocalyptic number.

1901216717568 is a gapful number since it is divisible by the number (18) 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 1901216717568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3619873635840).

1901216717568 is an abundant number, since it is smaller than the sum of its proper divisors (5338530554112).

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

1901216717568 is a wasteful number, since it uses less digits than its factorization.

1901216717568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 54.

The spelling of 1901216717568 in words is "one trillion, nine hundred one billion, two hundred sixteen million, seven hundred seventeen thousand, five hundred sixty-eight".