1455181971012 has 384 divisors, whose sum is σ = 4830286970880. Its totient is φ = 367903710720.

The previous prime is 1455181970947. The next prime is 1455181971017. The reversal of 1455181971012 is 2101791815541.

1455181971012 is a `hidden beast` number, since 1 + 4 + 551 + 8 + 1 + 97 + 1 + 0 + 1 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (1455181971017) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 55961998 + ... + 55987994.

It is an arithmetic number, because the mean of its divisors is an integer number (12578872320).

Almost surely, 2^{1455181971012} is an apocalyptic number.

1455181971012 is a gapful number since it is divisible by the number (12) 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 1455181971012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2415143485440).

1455181971012 is an abundant number, since it is smaller than the sum of its proper divisors (3375104999868).

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

1455181971012 is a wasteful number, since it uses less digits than its factorization.

1455181971012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26208 (or 26200 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 45.

The spelling of 1455181971012 in words is "one trillion, four hundred fifty-five billion, one hundred eighty-one million, nine hundred seventy-one thousand, twelve".