2231601763536 has 720 divisors, whose sum is σ = 7042598244864. Its totient is φ = 682586175744.

The previous prime is 2231601763511. The next prime is 2231601763571. The reversal of 2231601763536 is 6353671061322.

It is a happy number.

2231601763536 is a `hidden beast` number, since 2 + 2 + 3 + 1 + 6 + 0 + 1 + 7 + 635 + 3 + 6 = 666.

It is a super-3 number, since 3×2231601763536³ (a number of 38 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 2231601763491 and 2231601763500.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 20856091195 + ... + 20856091301.

Almost surely, 2^{2231601763536} 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 2231601763536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3521299122432).

2231601763536 is an abundant number, since it is smaller than the sum of its proper divisors (4810996481328).

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

2231601763536 is a wasteful number, since it uses less digits than its factorization.

2231601763536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 45.

The spelling of 2231601763536 in words is "two trillion, two hundred thirty-one billion, six hundred one million, seven hundred sixty-three thousand, five hundred thirty-six".