2361531013632 has 960 divisors, whose sum is σ = 8275738318848. Its totient is φ = 658409472000.

The previous prime is 2361531013619. The next prime is 2361531013643. The reversal of 2361531013632 is 2363101351632.

2361531013632 is a `hidden beast` number, since 2 + 3 + 6 + 1 + 5 + 3 + 1 + 0 + 13 + 632 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11192090007 + ... + 11192090217.

Almost surely, 2^{2361531013632} 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 2361531013632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4137869159424).

2361531013632 is an abundant number, since it is smaller than the sum of its proper divisors (5914207305216).

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

2361531013632 is an equidigital number, since it uses as much as digits as its factorization.

2361531013632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 503 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The spelling of 2361531013632 in words is "two trillion, three hundred sixty-one billion, five hundred thirty-one million, thirteen thousand, six hundred thirty-two".