1361651433984 has 160 divisors (see below), whose sum is σ = 4032330128640. Its totient is φ = 453687054336.

The previous prime is 1361651433971. The next prime is 1361651434001. The reversal of 1361651433984 is 4893341561631.

1361651433984 is a `hidden beast` number, since 1 + 3 + 6 + 1 + 6 + 514 + 33 + 98 + 4 = 666.

It is a super-2 number, since 2×1361651433984² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 1361651433984.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33807202 + ... + 33847454.

It is an arithmetic number, because the mean of its divisors is an integer number (25202063304).

Almost surely, 2^{1361651433984} 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 1361651433984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2016165064320).

1361651433984 is an abundant number, since it is smaller than the sum of its proper divisors (2670678694656).

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

1361651433984 is an equidigital number, since it uses as much as digits as its factorization.

1361651433984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42727 (or 42705 counting only the distinct ones).

The product of its digits is 5598720, while the sum is 54.

The spelling of 1361651433984 in words is "one trillion, three hundred sixty-one billion, six hundred fifty-one million, four hundred thirty-three thousand, nine hundred eighty-four".