455381006832 has 320 divisors, whose sum is σ = 1343366400000. Its totient is φ = 147658401792.

The previous prime is 455381006797. The next prime is 455381006837. The reversal of 455381006832 is 238600183554.

455381006832 is a `hidden beast` number, since 4 + 5 + 538 + 100 + 6 + 8 + 3 + 2 = 666.

It is a super-2 number, since 2×455381006832² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (455381006837) 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 63 ways as a sum of consecutive naturals, for example, 935073693 + ... + 935074179.

It is an arithmetic number, because the mean of its divisors is an integer number (4198020000).

Almost surely, 2^455381006832 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 455381006832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (671683200000).

455381006832 is an abundant number, since it is smaller than the sum of its proper divisors (887985393168).

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

455381006832 is a wasteful number, since it uses less digits than its factorization.

455381006832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 925 (or 913 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 455381006832 in words is "four hundred fifty-five billion, three hundred eighty-one million, six thousand, eight hundred thirty-two".