901840616072 has 108 divisors (see below), whose sum is σ = 1881018146805. Its totient is φ = 405052419200.

The previous prime is 901840616071. The next prime is 901840616113. The reversal of 901840616072 is 270616048109.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 813723068356 + 88117547716 = 902066^2 + 296846^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=671506.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (901840616071) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3870560468 + ... + 3870560700.

Almost surely, 2^901840616072 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 901840616072

901840616072 is an abundant number, since it is smaller than the sum of its proper divisors (979177530733).

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

901840616072 is a wasteful number, since it uses less digits than its factorization.

901840616072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 756 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 44.

The spelling of 901840616072 in words is "nine hundred one billion, eight hundred forty million, six hundred sixteen thousand, seventy-two".