46399392000 has 1296 divisors, whose sum is σ = 197690259312. Its totient is φ = 10749542400.

The previous prime is 46399391993. The next prime is 46399392001. The reversal of 46399392000 is 29399364.

46399392000 is a `hidden beast` number, since 4 + 639 + 9 + 3 + 9 + 2 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 17133762816 + 29265629184 = 130896^2 + 171072^2 .

It is a tau number, because it is divible by the number of its divisors (1296).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46399392001) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2729375992 + ... + 2729376008.

Almost surely, 2^46399392000 is an apocalyptic number.

46399392000 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 46399392000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98845129656).

46399392000 is an abundant number, since it is smaller than the sum of its proper divisors (151290867312).

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

46399392000 is an frugal number, since it uses more digits than its factorization.

46399392000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 314928, while the sum is 45.

The spelling of 46399392000 in words is "forty-six billion, three hundred ninety-nine million, three hundred ninety-two thousand".