1361952966528 has 512 divisors, whose sum is σ = 5306327884800. Its totient is φ = 332943851520.

The previous prime is 1361952966527. The next prime is 1361952966557. The reversal of 1361952966528 is 8256692591631.

1361952966528 is a `hidden beast` number, since 1 + 3 + 6 + 19 + 5 + 2 + 96 + 6 + 528 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1361952966527) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4373376 + ... + 4674432.

It is an arithmetic number, because the mean of its divisors is an integer number (10363921650).

Almost surely, 2^{1361952966528} is an apocalyptic number.

1361952966528 is a gapful number since it is divisible by the number (18) 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 1361952966528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2653163942400).

1361952966528 is an abundant number, since it is smaller than the sum of its proper divisors (3944374918272).

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

1361952966528 is a wasteful number, since it uses less digits than its factorization.

1361952966528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301115 (or 301097 counting only the distinct ones).

The product of its digits is 41990400, while the sum is 63.

The spelling of 1361952966528 in words is "one trillion, three hundred sixty-one billion, nine hundred fifty-two million, nine hundred sixty-six thousand, five hundred twenty-eight".