737168202225 has 729 divisors, whose sum is σ = 1815780987657. Its totient is φ = 284857896960.

The previous prime is 737168202203. The next prime is 737168202233. The reversal of 737168202225 is 522202861737.

The square root of 737168202225 is 858585.

It is a perfect power (a square), and thus also a powerful number.

737168202225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 40 ways, for example, as 702674798049 + 34493404176 = 838257^2 + 185724^2 .

It is not a de Polignac number, because 737168202225 - 2²¹ = 737166105073 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 728 ways as a sum of consecutive naturals, for example, 19923464907 + ... + 19923464943.

Almost surely, 2^737168202225 is an apocalyptic number.

737168202225 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

737168202225 is the 858585-th square number.

737168202225 is the 429293-rd centered octagonal number.

It is an amenable number.

737168202225 is an abundant number, since it is smaller than the sum of its proper divisors (1078612785432).

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

737168202225 is a wasteful number, since it uses less digits than its factorization.

737168202225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 737168202225 in words is "seven hundred thirty-seven billion, one hundred sixty-eight million, two hundred two thousand, two hundred twenty-five".