46861578000 has 280 divisors, whose sum is σ = 169894512216. Its totient is φ = 12496032000.

The previous prime is 46861577989. The next prime is 46861578097. The reversal of 46861578000 is 87516864.

It is a happy number.

46861578000 is a `hidden beast` number, since 468 + 61 + 57 + 80 + 0 + 0 = 666.

46861578000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 717382656 + 46144195344 = 26784^2 + 214812^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1441930 + ... + 1474070.

Almost surely, 2^46861578000 is an apocalyptic number.

46861578000 is a gapful number since it is divisible by the number (40) 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 46861578000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84947256108).

46861578000 is an abundant number, since it is smaller than the sum of its proper divisors (123032934216).

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

46861578000 is an equidigital number, since it uses as much as digits as its factorization.

46861578000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32182 (or 32151 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 46861578000 in words is "forty-six billion, eight hundred sixty-one million, five hundred seventy-eight thousand".