536945147200 has 504 divisors, whose sum is σ = 1713388447232. Its totient is φ = 161948160000.

The previous prime is 536945147191. The next prime is 536945147201. The reversal of 536945147200 is 2741549635.

It is a happy number.

It is a super-2 number, since 2×536945147200² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (536945147201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 42004810 + ... + 42017590.

Almost surely, 2^536945147200 is an apocalyptic number.

536945147200 is a gapful number since it is divisible by the number (50) 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 536945147200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (856694223616).

536945147200 is an abundant number, since it is smaller than the sum of its proper divisors (1176443300032).

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

536945147200 is a wasteful number, since it uses less digits than its factorization.

536945147200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12863 (or 12837 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 46.

The spelling of 536945147200 in words is "five hundred thirty-six billion, nine hundred forty-five million, one hundred forty-seven thousand, two hundred".