456074045614080 has 384 divisors, whose sum is σ = 1621419060643200. Its totient is φ = 121603365273600.

The previous prime is 456074045614043. The next prime is 456074045614093. The reversal of 456074045614080 is 80416540470654.

456074045614080 is a `hidden beast` number, since 4 + 5 + 6 + 0 + 7 + 40 + 456 + 140 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 31 ways as a sum of consecutive naturals, for example, 2126300440 + ... + 2126514920.

It is an arithmetic number, because the mean of its divisors is an integer number (4222445470425).

Almost surely, 2^{456074045614080} is an apocalyptic number.

456074045614080 is a gapful number since it is divisible by the number (40) 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 456074045614080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (810709530321600).

456074045614080 is an abundant number, since it is smaller than the sum of its proper divisors (1165345015029120).

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

456074045614080 is a wasteful number, since it uses less digits than its factorization.

456074045614080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222208 (or 222182 counting only the distinct ones).

The product of its (nonzero) digits is 12902400, while the sum is 54.

The spelling of 456074045614080 in words is "four hundred fifty-six trillion, seventy-four billion, forty-five million, six hundred fourteen thousand, eighty".