90957121645 has 32 divisors (see below), whose sum is σ = 121966332768. Its totient is φ = 64679067648.

The previous prime is 90957121643. The next prime is 90957121687. The reversal of 90957121645 is 54612175909.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 15531639876 + 75425481769 = 124626^2 + 274637^2 .

It is not a de Polignac number, because 90957121645 - 2¹ = 90957121643 is a prime.

It is a super-3 number, since 3×90957121645³ (a number of 34 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90957121643) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38337 + ... + 428233.

It is an arithmetic number, because the mean of its divisors is an integer number (3811447899).

Almost surely, 2^90957121645 is an apocalyptic number.

It is an amenable number.

90957121645 is a deficient number, since it is larger than the sum of its proper divisors (31009211123).

90957121645 is a wasteful number, since it uses less digits than its factorization.

90957121645 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390049.

The product of its (nonzero) digits is 680400, while the sum is 49.

The spelling of 90957121645 in words is "ninety billion, nine hundred fifty-seven million, one hundred twenty-one thousand, six hundred forty-five".