90736193856 has 448 divisors, whose sum is σ = 319176806400. Its totient is φ = 22023536640.

The previous prime is 90736193843. The next prime is 90736193879. The reversal of 90736193856 is 65839163709.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×90736193856² (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 90736193796 and 90736193805.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 37446661 + ... + 37449083.

Almost surely, 2^90736193856 is an apocalyptic number.

90736193856 is a gapful number since it is divisible by the number (96) 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 90736193856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159588403200).

90736193856 is an abundant number, since it is smaller than the sum of its proper divisors (228440612544).

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

90736193856 is a wasteful number, since it uses less digits than its factorization.

90736193856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2622 (or 2612 counting only the distinct ones).

The product of its (nonzero) digits is 7348320, while the sum is 57.

The spelling of 90736193856 in words is "ninety billion, seven hundred thirty-six million, one hundred ninety-three thousand, eight hundred fifty-six".