90929091456 has 512 divisors, whose sum is σ = 317162880000. Its totient is φ = 25952306688.

The previous prime is 90929091443. The next prime is 90929091497. The reversal of 90929091456 is 65419092909.

It is a super-2 number, since 2×90929091456² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 96017575 + ... + 96018521.

It is an arithmetic number, because the mean of its divisors is an integer number (619458750).

Almost surely, 2^90929091456 is an apocalyptic number.

90929091456 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90929091456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158581440000).

90929091456 is an abundant number, since it is smaller than the sum of its proper divisors (226233788544).

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

90929091456 is an frugal number, since it uses more digits than its factorization.

90929091456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1003 (or 959 counting only the distinct ones).

The product of its (nonzero) digits is 1574640, while the sum is 54.

The spelling of 90929091456 in words is "ninety billion, nine hundred twenty-nine million, ninety-one thousand, four hundred fifty-six".