90429806950848 has 168 divisors, whose sum is σ = 260382760310400. Its totient is φ = 30005825642496.

The previous prime is 90429806950817. The next prime is 90429806950853. The reversal of 90429806950848 is 84805960892409.

90429806950848 is a `hidden beast` number, since 90 + 4 + 29 + 8 + 0 + 6 + 9 + 508 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3104445148 + ... + 3104474276.

It is an arithmetic number, because the mean of its divisors is an integer number (1549897382800).

Almost surely, 2^{90429806950848} 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 90429806950848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130191380155200).

90429806950848 is an abundant number, since it is smaller than the sum of its proper divisors (169952953359552).

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

90429806950848 is a wasteful number, since it uses less digits than its factorization.

90429806950848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53539 (or 53526 counting only the distinct ones).

The product of its (nonzero) digits is 358318080, while the sum is 72.

The spelling of 90429806950848 in words is "ninety trillion, four hundred twenty-nine billion, eight hundred six million, nine hundred fifty thousand, eight hundred forty-eight".