90047946240 has 1120 divisors, whose sum is σ = 379344309696. Its totient is φ = 20065812480.

The previous prime is 90047946239. The next prime is 90047946281. The reversal of 90047946240 is 4264974009.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 111 ways as a sum of consecutive naturals, for example, 796884424 + ... + 796884536.

Almost surely, 2^90047946240 is an apocalyptic number.

90047946240 is a gapful number since it is divisible by the number (90) 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 90047946240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189672154848).

90047946240 is an abundant number, since it is smaller than the sum of its proper divisors (289296363456).

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

90047946240 is an equidigital number, since it uses as much as digits as its factorization.

90047946240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 90047946240 in words is "ninety billion, forty-seven million, nine hundred forty-six thousand, two hundred forty".