90348649020 has 576 divisors, whose sum is σ = 335944627200. Its totient is φ = 20371067136.

The previous prime is 90348649003. The next prime is 90348649031. The reversal of 90348649020 is 2094684309.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 138359014 + ... + 138359666.

It is an arithmetic number, because the mean of its divisors is an integer number (583237200).

Almost surely, 2^90348649020 is an apocalyptic number.

90348649020 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 90348649020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167972313600).

90348649020 is an abundant number, since it is smaller than the sum of its proper divisors (245595978180).

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

90348649020 is a wasteful number, since it uses less digits than its factorization.

90348649020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 781 (or 753 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 90348649020 in words is "ninety billion, three hundred forty-eight million, six hundred forty-nine thousand, twenty".