46002816000 has 1232 divisors, whose sum is σ = 188476133040. Its totient is φ = 11147673600.

The previous prime is 46002815977. The next prime is 46002816007. The reversal of 46002816000 is 61820064.

It can be written as a sum of positive squares in 8 ways, for example, as 8546632704 + 37456183296 = 92448^2 + 193536^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46002816007) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1586303986 + ... + 1586304014.

Almost surely, 2^46002816000 is an apocalyptic number.

46002816000 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 46002816000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94238066520).

46002816000 is an abundant number, since it is smaller than the sum of its proper divisors (142473317040).

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

46002816000 is an equidigital number, since it uses as much as digits as its factorization.

46002816000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 46002816000 in words is "forty-six billion, two million, eight hundred sixteen thousand".