90048354480 has 420 divisors, whose sum is σ = 365160614832. Its totient is φ = 20581827840.

The previous prime is 90048354479. The next prime is 90048354533. The reversal of 90048354480 is 8445384009.

It is a happy number.

90048354480 is a `hidden beast` number, since 90 + 0 + 4 + 83 + 5 + 4 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (420).

It is a super-2 number, since 2×90048354480² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 2841925 + ... + 2873435.

Almost surely, 2^90048354480 is an apocalyptic number.

90048354480 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90048354480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182580307416).

90048354480 is an abundant number, since it is smaller than the sum of its proper divisors (275112260352).

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

90048354480 is a wasteful number, since it uses less digits than its factorization.

90048354480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31556 (or 31528 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 90048354480 in words is "ninety billion, forty-eight million, three hundred fifty-four thousand, four hundred eighty".