90819338401 has 24 divisors (see below), whose sum is σ = 109021782240. Its totient is φ = 74816755200.

The previous prime is 90819338359. The next prime is 90819338411. The reversal of 90819338401 is 10483391809.

It is a happy number.

It is not a de Polignac number, because 90819338401 - 2⁷ = 90819338273 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (90819338411) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 300160 + ... + 521281.

It is an arithmetic number, because the mean of its divisors is an integer number (4542574260).

Almost surely, 2^90819338401 is an apocalyptic number.

It is an amenable number.

90819338401 is a deficient number, since it is larger than the sum of its proper divisors (18202443839).

90819338401 is a wasteful number, since it uses less digits than its factorization.

90819338401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 821517 (or 821494 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 46.

The spelling of 90819338401 in words is "ninety billion, eight hundred nineteen million, three hundred thirty-eight thousand, four hundred one".