746521920225 has 27 divisors (see below), whose sum is σ = 1337126919609. Its totient is φ = 398138112000.

The previous prime is 746521920149. The next prime is 746521920229. The reversal of 746521920225 is 522029125647.

The square root of 746521920225 is 864015.

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

It can be written as a sum of positive squares in 4 ways, for example, as 262790542161 + 483731378064 = 512631^2 + 695508^2 .

It is not a de Polignac number, because 746521920225 - 2⁷ = 746521920097 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (746521920229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 12931425 + ... + 12989025.

Almost surely, 2^746521920225 is an apocalyptic number.

746521920225 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

746521920225 is the 864015-th square number.

746521920225 is the 432008-th centered octagonal number.

It is an amenable number.

746521920225 is a deficient number, since it is larger than the sum of its proper divisors (590604999384).

746521920225 is an frugal number, since it uses more digits than its factorization.

746521920225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115218 (or 57609 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 746521920225 in words is "seven hundred forty-six billion, five hundred twenty-one million, nine hundred twenty thousand, two hundred twenty-five".