45395199360 has 1536 divisors, whose sum is σ = 203164416000. Its totient is φ = 9656672256.

The previous prime is 45395199341. The next prime is 45395199403. The reversal of 45395199360 is 6399159354.

45395199360 is a `hidden beast` number, since 4 + 5 + 3 + 95 + 199 + 360 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 45395199297 and 45395199306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1226897262 + ... + 1226897298.

It is an arithmetic number, because the mean of its divisors is an integer number (132268500).

Almost surely, 2^45395199360 is an apocalyptic number.

45395199360 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 45395199360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101582208000).

45395199360 is an abundant number, since it is smaller than the sum of its proper divisors (157769216640).

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

45395199360 is an equidigital number, since it uses as much as digits as its factorization.

45395199360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 3936600, while the sum is 54.

The spelling of 45395199360 in words is "forty-five billion, three hundred ninety-five million, one hundred ninety-nine thousand, three hundred sixty".