90970745056 has 48 divisors (see below), whose sum is σ = 182842367904. Its totient is φ = 44538018304.

The previous prime is 90970745039. The next prime is 90970745057. The reversal of 90970745056 is 65054707909.

It is a happy number.

It is a super-3 number, since 3×90970745056³ (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 90970744994 and 90970745012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90970745057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 799770 + ... + 906406.

It is an arithmetic number, because the mean of its divisors is an integer number (3809215998).

Almost surely, 2^90970745056 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 90970745056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91421183952).

90970745056 is an abundant number, since it is smaller than the sum of its proper divisors (91871622848).

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

90970745056 is a wasteful number, since it uses less digits than its factorization.

90970745056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107203 (or 107195 counting only the distinct ones).

The product of its (nonzero) digits is 2381400, while the sum is 52.

The spelling of 90970745056 in words is "ninety billion, nine hundred seventy million, seven hundred forty-five thousand, fifty-six".