90099697464 has 288 divisors, whose sum is σ = 295036560000. Its totient is φ = 25684827840.

The previous prime is 90099697447. The next prime is 90099697469. The reversal of 90099697464 is 46479699009.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90099697469) 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 71 ways as a sum of consecutive naturals, for example, 60105787 + ... + 60107285.

It is an arithmetic number, because the mean of its divisors is an integer number (1024432500).

Almost surely, 2^90099697464 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 90099697464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147518280000).

90099697464 is an abundant number, since it is smaller than the sum of its proper divisors (204936862536).

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

90099697464 is a wasteful number, since it uses less digits than its factorization.

90099697464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2165 (or 2142 counting only the distinct ones).

The product of its (nonzero) digits is 26453952, while the sum is 63.

The spelling of 90099697464 in words is "ninety billion, ninety-nine million, six hundred ninety-seven thousand, four hundred sixty-four".