1361613670464 has 224 divisors, whose sum is σ = 4087955264256. Its totient is φ = 397556121600.

The previous prime is 1361613670451. The next prime is 1361613670493. The reversal of 1361613670464 is 4640763161631.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2532564 + ... + 3022764.

Almost surely, 2^{1361613670464} 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 1361613670464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2043977632128).

1361613670464 is an abundant number, since it is smaller than the sum of its proper divisors (2726341593792).

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

1361613670464 is a wasteful number, since it uses less digits than its factorization.

1361613670464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490293 (or 490283 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 48.

The spelling of 1361613670464 in words is "one trillion, three hundred sixty-one billion, six hundred thirteen million, six hundred seventy thousand, four hundred sixty-four".