1455623809920 has 2048 divisors, whose sum is σ = 6359316480000. Its totient is φ = 311521738752.

The previous prime is 1455623809919. The next prime is 1455623809921. The reversal of 1455623809920 is 299083265541.

1455623809920 is a `hidden beast` number, since 1 + 4 + 5 + 5 + 623 + 8 + 0 + 9 + 9 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1455623809919) and next prime (1455623809921).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1455623809921) 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 255 ways as a sum of consecutive naturals, for example, 13354346826 + ... + 13354346934.

It is an arithmetic number, because the mean of its divisors is an integer number (3105135000).

Almost surely, 2^{1455623809920} is an apocalyptic number.

1455623809920 is a gapful number since it is divisible by the number (10) 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 1455623809920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3179658240000).

1455623809920 is an abundant number, since it is smaller than the sum of its proper divisors (4903692670080).

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

1455623809920 is an equidigital number, since it uses as much as digits as its factorization.

1455623809920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 1455623809920 in words is "one trillion, four hundred fifty-five billion, six hundred twenty-three million, eight hundred nine thousand, nine hundred twenty".