90338121984 has 144 divisors (see below), whose sum is σ = 262613643264. Its totient is φ = 27341260800.

The previous prime is 90338121971. The next prime is 90338121997. The reversal of 90338121984 is 48912183309.

It is an interprime number because it is at equal distance from previous prime (90338121971) and next prime (90338121997).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7284429 + ... + 7296819.

It is an arithmetic number, because the mean of its divisors is an integer number (1823705856).

Almost surely, 2^90338121984 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 90338121984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131306821632).

90338121984 is an abundant number, since it is smaller than the sum of its proper divisors (172275521280).

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

90338121984 is a wasteful number, since it uses less digits than its factorization.

90338121984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13284 (or 13270 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 48.

The spelling of 90338121984 in words is "ninety billion, three hundred thirty-eight million, one hundred twenty-one thousand, nine hundred eighty-four".