46288050900 has 648 divisors, whose sum is σ = 173080109664. Its totient is φ = 9466329600.

The previous prime is 46288050899. The next prime is 46288050901. The reversal of 46288050900 is 905088264.

It is an interprime number because it is at equal distance from previous prime (46288050899) and next prime (46288050901).

It is a super-2 number, since 2×46288050900² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46288050901) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 353343835 + ... + 353343965.

Almost surely, 2^46288050900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46288050900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86540054832).

46288050900 is an abundant number, since it is smaller than the sum of its proper divisors (126792058764).

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

46288050900 is a wasteful number, since it uses less digits than its factorization.

46288050900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The spelling of 46288050900 in words is "forty-six billion, two hundred eighty-eight million, fifty thousand, nine hundred".