90981461088 has 432 divisors, whose sum is σ = 325843605360. Its totient is φ = 24622424064.

The previous prime is 90981461083. The next prime is 90981461089. The reversal of 90981461088 is 88016418909.

90981461088 is a `hidden beast` number, since 9 + 0 + 9 + 8 + 14 + 610 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90981461083) 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, 15280320 + ... + 15286272.

It is an arithmetic number, because the mean of its divisors is an integer number (754267605).

Almost surely, 2^90981461088 is an apocalyptic number.

90981461088 is a gapful number since it is divisible by the number (98) 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 90981461088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162921802680).

90981461088 is an abundant number, since it is smaller than the sum of its proper divisors (234862144272).

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

90981461088 is a wasteful number, since it uses less digits than its factorization.

90981461088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6024 (or 5984 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 54.

The spelling of 90981461088 in words is "ninety billion, nine hundred eighty-one million, four hundred sixty-one thousand, eighty-eight".