90100782628444 has 48 divisors (see below), whose sum is σ = 181138604004288. Its totient is φ = 38413834518528.

The previous prime is 90100782628429. The next prime is 90100782628447. The reversal of 90100782628444 is 44482628700109.

It is a super-2 number, since 2×90100782628444² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90100782628447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 377387892 + ... + 377626564.

It is an arithmetic number, because the mean of its divisors is an integer number (3773720916756).

Almost surely, 2^{90100782628444} is an apocalyptic number.

It is an amenable number.

90100782628444 is an abundant number, since it is smaller than the sum of its proper divisors (91037821375844).

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

90100782628444 is a wasteful number, since it uses less digits than its factorization.

90100782628444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308734 (or 308732 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 55.

The spelling of 90100782628444 in words is "ninety trillion, one hundred billion, seven hundred eighty-two million, six hundred twenty-eight thousand, four hundred forty-four".