456467156352 has 288 divisors, whose sum is σ = 1394772167880. Its totient is φ = 148598489088.

The previous prime is 456467156293. The next prime is 456467156407. The reversal of 456467156352 is 253651764654.

456467156352 is a `hidden beast` number, since 4 + 5 + 6 + 4 + 6 + 71 + 563 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 57507328 + ... + 57515264.

Almost surely, 2^456467156352 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 456467156352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697386083940).

456467156352 is an abundant number, since it is smaller than the sum of its proper divisors (938305011528).

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

456467156352 is an frugal number, since it uses more digits than its factorization.

456467156352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8052 (or 7985 counting only the distinct ones).

The product of its digits is 18144000, while the sum is 54.

The spelling of 456467156352 in words is "four hundred fifty-six billion, four hundred sixty-seven million, one hundred fifty-six thousand, three hundred fifty-two".