1456465353156 has 192 divisors, whose sum is σ = 4299942205440. Its totient is φ = 422012004480.

The previous prime is 1456465353149. The next prime is 1456465353193. The reversal of 1456465353156 is 6513535646541.

1456465353156 is a `hidden beast` number, since 1 + 4 + 5 + 6 + 4 + 6 + 53 + 531 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 92155951 + ... + 92171753.

It is an arithmetic number, because the mean of its divisors is an integer number (22395532320).

Almost surely, 2^{1456465353156} 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 1456465353156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2149971102720).

1456465353156 is an abundant number, since it is smaller than the sum of its proper divisors (2843476852284).

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

1456465353156 is a wasteful number, since it uses less digits than its factorization.

1456465353156 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19223 (or 19215 counting only the distinct ones).

The product of its digits is 19440000, while the sum is 54.

The spelling of 1456465353156 in words is "one trillion, four hundred fifty-six billion, four hundred sixty-five million, three hundred fifty-three thousand, one hundred fifty-six".