90145746208528 has 40 divisors (see below), whose sum is σ = 183686231328768. Its totient is φ = 42773709065472.

The previous prime is 90145746208499. The next prime is 90145746208549. The reversal of 90145746208528 is 82580264754109.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 964367701 + ... + 964461172.

Almost surely, 2^{90145746208528} is an apocalyptic number.

It is an amenable number.

90145746208528 is an abundant number, since it is smaller than the sum of its proper divisors (93540485120240).

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

90145746208528 is a wasteful number, since it uses less digits than its factorization.

90145746208528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1928829031 (or 1928829025 counting only the distinct ones).

The product of its (nonzero) digits is 38707200, while the sum is 61.

The spelling of 90145746208528 in words is "ninety trillion, one hundred forty-five billion, seven hundred forty-six million, two hundred eight thousand, five hundred twenty-eight".