90154548946748 has 96 divisors (see below), whose sum is σ = 189322270341120. Its totient is φ = 37017189066240.

The previous prime is 90154548946747. The next prime is 90154548946789. The reversal of 90154548946748 is 84764984545109.

It is a happy number.

90154548946748 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×90154548946748² (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 (90154548946747) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 199603193 + ... + 200054351.

It is an arithmetic number, because the mean of its divisors is an integer number (1972106982720).

Almost surely, 2^{90154548946748} is an apocalyptic number.

It is an amenable number.

90154548946748 is an abundant number, since it is smaller than the sum of its proper divisors (99167721394372).

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

90154548946748 is a wasteful number, since it uses less digits than its factorization.

90154548946748 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458667 (or 458665 counting only the distinct ones).

The product of its (nonzero) digits is 1393459200, while the sum is 74.

The spelling of 90154548946748 in words is "ninety trillion, one hundred fifty-four billion, five hundred forty-eight million, nine hundred forty-six thousand, seven hundred forty-eight".