90513651331152 has 240 divisors, whose sum is σ = 292252505733760. Its totient is φ = 25615319731200.

The previous prime is 90513651331087. The next prime is 90513651331189. The reversal of 90513651331152 is 25113315631509.

90513651331152 is a `hidden beast` number, since 9 + 0 + 5 + 1 + 365 + 133 + 1 + 152 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 90513651331098 and 90513651331107.

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 47 ways as a sum of consecutive naturals, for example, 336183627 + ... + 336452757.

Almost surely, 2^{90513651331152} 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 90513651331152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146126252866880).

90513651331152 is an abundant number, since it is smaller than the sum of its proper divisors (201738854402608).

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

90513651331152 is a wasteful number, since it uses less digits than its factorization.

90513651331152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272322 (or 272313 counting only the distinct ones).

The product of its (nonzero) digits is 364500, while the sum is 45.

The spelling of 90513651331152 in words is "ninety trillion, five hundred thirteen billion, six hundred fifty-one million, three hundred thirty-one thousand, one hundred fifty-two".