46822104000 has 896 divisors, whose sum is σ = 198563788800. Its totient is φ = 10580889600.

The previous prime is 46822103969. The next prime is 46822104037. The reversal of 46822104000 is 40122864.

46822104000 is a `hidden beast` number, since 46 + 8 + 2 + 210 + 400 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 261575911 + ... + 261576089.

Almost surely, 2^46822104000 is an apocalyptic number.

46822104000 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 46822104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99281894400).

46822104000 is an abundant number, since it is smaller than the sum of its proper divisors (151741684800).

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

46822104000 is a wasteful number, since it uses less digits than its factorization.

46822104000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 46822104000 its reverse (40122864), we get a palindrome (46862226864).

The spelling of 46822104000 in words is "forty-six billion, eight hundred twenty-two million, one hundred four thousand".