901622872567872 has 1120 divisors, whose sum is σ = 3595320716359680. Its totient is φ = 216583452426240.

The previous prime is 901622872567867. The next prime is 901622872567877. The reversal of 901622872567872 is 278765278226109.

901622872567872 is a `hidden beast` number, since 9 + 0 + 16 + 2 + 287 + 256 + 7 + 87 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (901622872567867) and next prime (901622872567877).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 901622872567872.

It is not an unprimeable number, because it can be changed into a prime (901622872567877) by changing a digit.

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, 246795754 + ... + 250422422.

It is an arithmetic number, because the mean of its divisors is an integer number (3210107782464).

Almost surely, 2^{901622872567872} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 901622872567872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1797660358179840).

901622872567872 is an abundant number, since it is smaller than the sum of its proper divisors (2693697843791808).

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

901622872567872 is a wasteful number, since it uses less digits than its factorization.

901622872567872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3626761 (or 3626742 counting only the distinct ones).

The product of its (nonzero) digits is 568995840, while the sum is 72.

The spelling of 901622872567872 in words is "nine hundred one trillion, six hundred twenty-two billion, eight hundred seventy-two million, five hundred sixty-seven thousand, eight hundred seventy-two".