46314864288 has 360 divisors, whose sum is σ = 172858904064. Its totient is φ = 12029472000.

The previous prime is 46314864287. The next prime is 46314864329. The reversal of 46314864288 is 88246841364.

It is a happy number.

46314864288 is a `hidden beast` number, since 46 + 3 + 1 + 486 + 42 + 88 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (46314864283) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1380513 + ... + 1413663.

Almost surely, 2^46314864288 is an apocalyptic number.

46314864288 is a gapful number since it is divisible by the number (48) 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 46314864288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86429452032).

46314864288 is an abundant number, since it is smaller than the sum of its proper divisors (126544039776).

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

46314864288 is a wasteful number, since it uses less digits than its factorization.

46314864288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33198 (or 33174 counting only the distinct ones).

The product of its digits is 7077888, while the sum is 54.

The spelling of 46314864288 in words is "forty-six billion, three hundred fourteen million, eight hundred sixty-four thousand, two hundred eighty-eight".