1452981136816 has 80 divisors (see below), whose sum is σ = 3081428088480. Its totient is φ = 658221301760.

The previous prime is 1452981136813. The next prime is 1452981136819. The reversal of 1452981136816 is 6186311892541.

It is an interprime number because it is at equal distance from previous prime (1452981136813) and next prime (1452981136819).

It is a super-2 number, since 2×1452981136816² (a number of 25 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (55) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (1452981136813) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 141211800 + ... + 141222088.

It is an arithmetic number, because the mean of its divisors is an integer number (38517851106).

Almost surely, 2^{1452981136816} is an apocalyptic number.

1452981136816 is a gapful number since it is divisible by the number (16) 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 1452981136816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1540714044240).

1452981136816 is an abundant number, since it is smaller than the sum of its proper divisors (1628446951664).

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

1452981136816 is a wasteful number, since it uses less digits than its factorization.

1452981136816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12934 (or 12928 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 55.

The spelling of 1452981136816 in words is "one trillion, four hundred fifty-two billion, nine hundred eighty-one million, one hundred thirty-six thousand, eight hundred sixteen".