46368777000 has 512 divisors, whose sum is σ = 183833395200. Its totient is φ = 9465984000.

The previous prime is 46368776983. The next prime is 46368777001. The reversal of 46368777000 is 77786364.

46368777000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (46368777001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8460261 + ... + 8465739.

It is an arithmetic number, because the mean of its divisors is an integer number (359049600).

Almost surely, 2^46368777000 is an apocalyptic number.

46368777000 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 46368777000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91916697600).

46368777000 is an abundant number, since it is smaller than the sum of its proper divisors (137464618200).

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

46368777000 is a wasteful number, since it uses less digits than its factorization.

46368777000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5554 (or 5540 counting only the distinct ones).

The product of its (nonzero) digits is 1185408, while the sum is 48.

The spelling of 46368777000 in words is "forty-six billion, three hundred sixty-eight million, seven hundred seventy-seven thousand".