90834361464 has 128 divisors (see below), whose sum is σ = 283364282880. Its totient is φ = 23572992000.

The previous prime is 90834361447. The next prime is 90834361489. The reversal of 90834361464 is 46416343809.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2184064 + ... + 2225264.

It is an arithmetic number, because the mean of its divisors is an integer number (2213783460).

Almost surely, 2^90834361464 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 90834361464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141682141440).

90834361464 is an abundant number, since it is smaller than the sum of its proper divisors (192529921416).

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

90834361464 is a wasteful number, since it uses less digits than its factorization.

90834361464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42421 (or 42417 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 48.

The spelling of 90834361464 in words is "ninety billion, eight hundred thirty-four million, three hundred sixty-one thousand, four hundred sixty-four".