90212315121344 has 56 divisors (see below), whose sum is σ = 192869974277568. Its totient is φ = 41618198661120.

The previous prime is 90212315121343. The next prime is 90212315121353. The reversal of 90212315121344 is 44312151321209.

It is a junction number, because it is equal to n+sod(n) for n = 90212315121298 and 90212315121307.

It is not an unprimeable number, because it can be changed into a prime (90212315121343) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21869912 + ... + 25665495.

It is an arithmetic number, because the mean of its divisors is an integer number (3444106683528).

Almost surely, 2^{90212315121344} is an apocalyptic number.

It is an amenable number.

90212315121344 is an abundant number, since it is smaller than the sum of its proper divisors (102657659156224).

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

90212315121344 is a wasteful number, since it uses less digits than its factorization.

90212315121344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47537713 (or 47537703 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 38.

The spelling of 90212315121344 in words is "ninety trillion, two hundred twelve billion, three hundred fifteen million, one hundred twenty-one thousand, three hundred forty-four".