1361507168064 has 112 divisors (see below), whose sum is σ = 3691095569280. Its totient is φ = 442657013760.

The previous prime is 1361507168041. The next prime is 1361507168089. The reversal of 1361507168064 is 4608617051631.

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

It is a congruent number.

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, 35554432 + ... + 35592704.

It is an arithmetic number, because the mean of its divisors is an integer number (32956210440).

Almost surely, 2^{1361507168064} 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 1361507168064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1845547784640).

1361507168064 is an abundant number, since it is smaller than the sum of its proper divisors (2329588401216).

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

1361507168064 is a wasteful number, since it uses less digits than its factorization.

1361507168064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42848 (or 42838 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The spelling of 1361507168064 in words is "one trillion, three hundred sixty-one billion, five hundred seven million, one hundred sixty-eight thousand, sixty-four".