45011232000 has 864 divisors, whose sum is σ = 188027723520. Its totient is φ = 10126540800.

The previous prime is 45011231977. The next prime is 45011232023. The reversal of 45011232000 is 23211054.

45011232000 is a `hidden beast` number, since 450 + 1 + 12 + 3 + 200 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (45011231977) and next prime (45011232023).

It is a super-2 number, since 2×45011232000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 167327866 + ... + 167328134.

It is an arithmetic number, because the mean of its divisors is an integer number (217624680).

Almost surely, 2^45011232000 is an apocalyptic number.

45011232000 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 45011232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94013861760).

45011232000 is an abundant number, since it is smaller than the sum of its proper divisors (143016491520).

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

45011232000 is a wasteful number, since it uses less digits than its factorization.

45011232000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

Adding to 45011232000 its reverse (23211054), we get a palindrome (45034443054).

The spelling of 45011232000 in words is "forty-five billion, eleven million, two hundred thirty-two thousand".