46801560000 has 560 divisors, whose sum is σ = 175521315200. Its totient is φ = 10907136000.

The previous prime is 46801559993. The next prime is 46801560023. The reversal of 46801560000 is 6510864.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 46801560000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 29639211 + ... + 29640789.

It is an arithmetic number, because the mean of its divisors is an integer number (313430920).

Almost surely, 2^46801560000 is an apocalyptic number.

46801560000 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 46801560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87760657600).

46801560000 is an abundant number, since it is smaller than the sum of its proper divisors (128719755200).

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

46801560000 is a wasteful number, since it uses less digits than its factorization.

46801560000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1646 (or 1621 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The spelling of 46801560000 in words is "forty-six billion, eight hundred one million, five hundred sixty thousand".