46285398432 has 1080 divisors, whose sum is σ = 183017771244. Its totient is φ = 11370627072.

The previous prime is 46285398431. The next prime is 46285398433. The reversal of 46285398432 is 23489358264.

46285398432 is a `hidden beast` number, since 4 + 6 + 28 + 539 + 84 + 3 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (46285398431) and next prime (46285398433).

It can be written as a sum of positive squares in 6 ways, for example, as 26583345936 + 19702052496 = 163044^2 + 140364^2 .

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

Its product of digits (9953280) is a multiple of the sum of its prime factors (180).

It is not an unprimeable number, because it can be changed into a prime (46285398431) by changing a digit.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 477169008 + ... + 477169104.

Almost surely, 2^46285398432 is an apocalyptic number.

46285398432 is a gapful number since it is divisible by the number (42) 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 46285398432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91508885622).

46285398432 is an abundant number, since it is smaller than the sum of its proper divisors (136732372812).

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

46285398432 is a wasteful number, since it uses less digits than its factorization.

46285398432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 139 counting only the distinct ones).

The product of its digits is 9953280, while the sum is 54.

The spelling of 46285398432 in words is "forty-six billion, two hundred eighty-five million, three hundred ninety-eight thousand, four hundred thirty-two".