10472336737801 has 27 divisors (see below), whose sum is σ = 11125745930709. Its totient is φ = 9855863114400.

The previous prime is 10472336737757. The next prime is 10472336737871. The reversal of 10472336737801 is 10873763327401.

The square root of 10472336737801 is 3236099.

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 2944995777801 + 7527340960000 = 1716099^2 + 2743600^2 .

It is not a de Polignac number, because 10472336737801 - 2¹³ = 10472336729609 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10472336737871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 11128943991 + ... + 11128944931.

Almost surely, 2^{10472336737801} is an apocalyptic number.

10472336737801 is the 3236099-th square number.

10472336737801 is the 1618050-th centered octagonal number.

It is an amenable number.

10472336737801 is a deficient number, since it is larger than the sum of its proper divisors (653409192908).

10472336737801 is an frugal number, since it uses more digits than its factorization.

10472336737801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2282 (or 1141 counting only the distinct ones).

The product of its (nonzero) digits is 3556224, while the sum is 52.

The spelling of 10472336737801 in words is "ten trillion, four hundred seventy-two billion, three hundred thirty-six million, seven hundred thirty-seven thousand, eight hundred one".