2124746437801 has 27 divisors (see below), whose sum is σ = 2378030621733. Its totient is φ = 1897511765760.

The previous prime is 2124746437789. The next prime is 2124746437813. The reversal of 2124746437801 is 1087346474212.

The square root of 2124746437801 is 1457651.

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

It is an interprime number because it is at equal distance from previous prime (2124746437789) and next prime (2124746437813).

It can be written as a sum of positive squares in 4 ways, for example, as 1696899627801 + 427846810000 = 1302651^2 + 654100^2 .

It is not a de Polignac number, because 2124746437801 - 2¹¹ = 2124746435753 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2124746437201) 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, 587431545 + ... + 587435161.

Almost surely, 2^{2124746437801} is an apocalyptic number.

2124746437801 is the 1457651-st square number.

2124746437801 is the 728826-th centered octagonal number.

It is an amenable number.

2124746437801 is a deficient number, since it is larger than the sum of its proper divisors (253284183932).

2124746437801 is an frugal number, since it uses more digits than its factorization.

2124746437801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7322 (or 3661 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 49.

Multiplying 2124746437801 by its sum of digits (49), we get a square (104112575452249 = 10203557²).

The spelling of 2124746437801 in words is "two trillion, one hundred twenty-four billion, seven hundred forty-six million, four hundred thirty-seven thousand, eight hundred one".