748908506025 has 45 divisors (see below), whose sum is σ = 1387309574343. Its totient is φ = 399397100400.

The previous prime is 748908505997. The next prime is 748908506033. The reversal of 748908506025 is 520605809847.

The square root of 748908506025 is 865395.

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

748908506025 is a `hidden beast` number, since 7 + 48 + 90 + 8 + 506 + 0 + 2 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 269607062169 + 479301443856 = 519237^2 + 692316^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 748908506025 - 2¹¹ = 748908503977 is a prime.

It is a super-2 number, since 2×748908506025² (a number of 25 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 38933160 + ... + 38952390.

Almost surely, 2^748908506025 is an apocalyptic number.

748908506025 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

748908506025 is the 865395-th square number.

748908506025 is the 432698-th centered octagonal number.

It is an amenable number.

748908506025 is a deficient number, since it is larger than the sum of its proper divisors (638401068318).

748908506025 is an frugal number, since it uses more digits than its factorization.

748908506025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38484 (or 19239 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 748908506025 in words is "seven hundred forty-eight billion, nine hundred eight million, five hundred six thousand, twenty-five".