90194949411840 has 2112 divisors, whose sum is σ = 419094775411200. Its totient is φ = 17910001041408.

The previous prime is 90194949411821. The next prime is 90194949411859. The reversal of 90194949411840 is 4811494949109.

90194949411840 is a `hidden beast` number, since 9 + 0 + 1 + 9 + 494 + 94 + 1 + 18 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (90194949411821) and next prime (90194949411859).

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 3635561356 + ... + 3635586164.

Almost surely, 2^{90194949411840} is an apocalyptic number.

90194949411840 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 90194949411840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209547387705600).

90194949411840 is an abundant number, since it is smaller than the sum of its proper divisors (328899825999360).

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

90194949411840 is a wasteful number, since it uses less digits than its factorization.

90194949411840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24897 (or 24856 counting only the distinct ones).

The product of its (nonzero) digits is 13436928, while the sum is 63.

The spelling of 90194949411840 in words is "ninety trillion, one hundred ninety-four billion, nine hundred forty-nine million, four hundred eleven thousand, eight hundred forty".