90112746240000 has 2400 divisors, whose sum is σ = 370517850022320. Its totient is φ = 21812060160000.

The previous prime is 90112746239953. The next prime is 90112746240007. The reversal of 90112746240000 is 4264721109.

It is a happy number.

90112746240000 is a `hidden beast` number, since 9 + 0 + 1 + 1 + 27 + 4 + 624 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2400).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90112746240007) by changing a digit.

It is a polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 137998079674 + ... + 137998080326.

Almost surely, 2^{90112746240000} is an apocalyptic number.

90112746240000 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 90112746240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185258925011160).

90112746240000 is an abundant number, since it is smaller than the sum of its proper divisors (280405103782320).

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

90112746240000 is an frugal number, since it uses more digits than its factorization.

90112746240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 740 (or 674 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 90112746240000 in words is "ninety trillion, one hundred twelve billion, seven hundred forty-six million, two hundred forty thousand".