1361621366352 has 160 divisors (see below), whose sum is σ = 4239283529600. Its totient is φ = 415946078208.

The previous prime is 1361621366351. The next prime is 1361621366359. The reversal of 1361621366352 is 2536631261631.

1361621366352 is a `hidden beast` number, since 1 + 3 + 6 + 1 + 6 + 2 + 1 + 3 + 6 + 635 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1361621366298 and 1361621366307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1361621366351) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 91513 + ... + 1652760.

It is an arithmetic number, because the mean of its divisors is an integer number (26495522060).

Almost surely, 2^{1361621366352} is an apocalyptic number.

1361621366352 is a gapful number since it is divisible by the number (12) 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 1361621366352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2119641764800).

1361621366352 is an abundant number, since it is smaller than the sum of its proper divisors (2877662163248).

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

1361621366352 is a wasteful number, since it uses less digits than its factorization.

1361621366352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1744442 (or 1744430 counting only the distinct ones).

The product of its digits is 699840, while the sum is 45.

The spelling of 1361621366352 in words is "one trillion, three hundred sixty-one billion, six hundred twenty-one million, three hundred sixty-six thousand, three hundred fifty-two".