46468652449824 has 576 divisors, whose sum is σ = 155795531673600. Its totient is φ = 12998680934400.

The previous prime is 46468652449721. The next prime is 46468652449927. The reversal of 46468652449824 is 42894425686464.

46468652449824 is a `hidden beast` number, since 4 + 6 + 4 + 6 + 8 + 6 + 524 + 4 + 98 + 2 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (46468652449721) and next prime (46468652449927).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 236288367 + ... + 236484945.

It is an arithmetic number, because the mean of its divisors is an integer number (270478353600).

Almost surely, 2^{46468652449824} is an apocalyptic number.

46468652449824 is a gapful number since it is divisible by the number (44) 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 46468652449824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77897765836800).

46468652449824 is an abundant number, since it is smaller than the sum of its proper divisors (109326879223776).

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

46468652449824 is a wasteful number, since it uses less digits than its factorization.

46468652449824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196749 (or 196738 counting only the distinct ones).

The product of its digits is 2548039680, while the sum is 72.

The spelling of 46468652449824 in words is "forty-six trillion, four hundred sixty-eight billion, six hundred fifty-two million, four hundred forty-nine thousand, eight hundred twenty-four".