46854720000 has 1600 divisors, whose sum is σ = 207091209600. Its totient is φ = 10321920000.

The previous prime is 46854719987. The next prime is 46854720007. The reversal of 46854720000 is 2745864.

It is a tau number, because it is divible by the number of its divisors (1600).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (46854720007) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1615679986 + ... + 1615680014.

It is an arithmetic number, because the mean of its divisors is an integer number (129432006).

Almost surely, 2^46854720000 is an apocalyptic number.

46854720000 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 46854720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103545604800).

46854720000 is an abundant number, since it is smaller than the sum of its proper divisors (160236489600).

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

46854720000 is a wasteful number, since it uses less digits than its factorization.

46854720000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 46854720000 in words is "forty-six billion, eight hundred fifty-four million, seven hundred twenty thousand".