1381164777472 has 216 divisors, whose sum is σ = 2917871790120. Its totient is φ = 653336248320.

The previous prime is 1381164777467. The next prime is 1381164777491. The reversal of 1381164777472 is 2747774611831.

It is a super-2 number, since 2×1381164777472² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9936437179 + ... + 9936437317.

It is an arithmetic number, because the mean of its divisors is an integer number (13508665695).

Almost surely, 2^{1381164777472} 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 1381164777472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1458935895060).

1381164777472 is an abundant number, since it is smaller than the sum of its proper divisors (1536707012648).

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

1381164777472 is an frugal number, since it uses more digits than its factorization.

1381164777472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 225 counting only the distinct ones).

The product of its digits is 11063808, while the sum is 58.

The spelling of 1381164777472 in words is "one trillion, three hundred eighty-one billion, one hundred sixty-four million, seven hundred seventy-seven thousand, four hundred seventy-two".