90289276452864 has 828 divisors, whose sum is σ = 288272566952604. Its totient is φ = 28179280429056.

The previous prime is 90289276452863. The next prime is 90289276452917. The reversal of 90289276452864 is 46825467298209.

90289276452864 is a `hidden beast` number, since 9 + 0 + 2 + 8 + 92 + 7 + 6 + 4 + 528 + 6 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 46259150782464 + 44030125670400 = 6801408^2 + 6635520^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 90289276452792 and 90289276452801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90289276452863) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 467820085152 + ... + 467820085344.

Almost surely, 2^{90289276452864} 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 90289276452864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144136283476302).

90289276452864 is an abundant number, since it is smaller than the sum of its proper divisors (197983290499740).

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

90289276452864 is an frugal number, since it uses more digits than its factorization.

90289276452864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 836075520, while the sum is 72.

The spelling of 90289276452864 in words is "ninety trillion, two hundred eighty-nine billion, two hundred seventy-six million, four hundred fifty-two thousand, eight hundred sixty-four".