45950370000 has 200 divisors, whose sum is σ = 153121985280. Its totient is φ = 11857920000.

The previous prime is 45950369957. The next prime is 45950370007. The reversal of 45950370000 is 7305954.

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-2 number, since 2×45950370000² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45950370007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 905296 + ... + 954704.

Almost surely, 2^45950370000 is an apocalyptic number.

45950370000 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 45950370000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76560992640).

45950370000 is an abundant number, since it is smaller than the sum of its proper divisors (107171615280).

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

45950370000 is a wasteful number, since it uses less digits than its factorization.

45950370000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49471 (or 49450 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 33.

Adding to 45950370000 its reverse (7305954), we get a palindrome (45957675954).

The spelling of 45950370000 in words is "forty-five billion, nine hundred fifty million, three hundred seventy thousand".