90519111249408 has 240 divisors, whose sum is σ = 271440192559536. Its totient is φ = 30115101818880.

The previous prime is 90519111249403. The next prime is 90519111249451. The reversal of 90519111249408 is 80494211191509.

90519111249408 is a `hidden beast` number, since 9 + 0 + 5 + 191 + 1 + 1 + 2 + 49 + 408 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90519111249403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64122510 + ... + 65518962.

Almost surely, 2^{90519111249408} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90519111249408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135720096279768).

90519111249408 is an abundant number, since it is smaller than the sum of its proper divisors (180921081310128).

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

90519111249408 is an equidigital number, since it uses as much as digits as its factorization.

90519111249408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1397007 (or 1396979 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 54.

The spelling of 90519111249408 in words is "ninety trillion, five hundred nineteen billion, one hundred eleven million, two hundred forty-nine thousand, four hundred eight".