90801315381 has 64 divisors (see below), whose sum is σ = 150502400000. Its totient is φ = 48532550976.

The previous prime is 90801315379. The next prime is 90801315391. The reversal of 90801315381 is 18351310809.

It is not a de Polignac number, because 90801315381 - 2¹ = 90801315379 is a prime.

It is a super-2 number, since 2×90801315381² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90801315301) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 1515135 + ... + 1573923.

It is an arithmetic number, because the mean of its divisors is an integer number (2351600000).

Almost surely, 2^90801315381 is an apocalyptic number.

It is an amenable number.

90801315381 is a deficient number, since it is larger than the sum of its proper divisors (59701084619).

90801315381 is a wasteful number, since it uses less digits than its factorization.

90801315381 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58911 (or 58897 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 39.

The spelling of 90801315381 in words is "ninety billion, eight hundred one million, three hundred fifteen thousand, three hundred eighty-one".