748153840464801 has 27 divisors (see below), whose sum is σ = 1093853564900499. Its totient is φ = 492755473387872.

The previous prime is 748153840464799. The next prime is 748153840464893. The reversal of 748153840464801 is 108464048351847.

The square root of 748153840464801 is 27352401.

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

748153840464801 is a `hidden beast` number, since 7 + 4 + 8 + 1 + 53 + 8 + 40 + 464 + 80 + 1 = 666.

748153840464801 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 only one way, i.e., 70828231234401 + 677325609230400 = 8415951^2 + 26025480^2 .

It is not a de Polignac number, because 748153840464801 - 2¹ = 748153840464799 is a prime.

It is not an unprimeable number, because it can be changed into a prime (748153840464101) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6810692925 + ... + 6810802773.

Almost surely, 2^{748153840464801} is an apocalyptic number.

748153840464801 is the 27352401-st square number.

748153840464801 is the 13676201-st centered octagonal number.

It is an amenable number.

748153840464801 is a deficient number, since it is larger than the sum of its proper divisors (345699724435698).

748153840464801 is an frugal number, since it uses more digits than its factorization.

748153840464801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219870 (or 109935 counting only the distinct ones).

The product of its (nonzero) digits is 82575360, while the sum is 63.

The spelling of 748153840464801 in words is "seven hundred forty-eight trillion, one hundred fifty-three billion, eight hundred forty million, four hundred sixty-four thousand, eight hundred one".