7344661401 has 135 divisors (see below), whose sum is σ = 13865305727. Its totient is φ = 3743419680.

The previous prime is 7344661381. The next prime is 7344661409. The reversal of 7344661401 is 1041664437.

The square root of 7344661401 is 85701.

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

7344661401 is a `hidden beast` number, since 7 + 34 + 4 + 6 + 614 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5294745225 + 2049916176 = 72765^2 + 45276^2 .

It is not a de Polignac number, because 7344661401 - 2¹³ = 7344653209 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (7344661409) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 138578491 + ... + 138578543.

Almost surely, 2^7344661401 is an apocalyptic number.

7344661401 is the 85701-st square number.

7344661401 is the 42851-st centered octagonal number.

It is an amenable number.

7344661401 is a deficient number, since it is larger than the sum of its proper divisors (6520644326).

7344661401 is an equidigital number, since it uses as much as digits as its factorization.

7344661401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The cubic root of 7344661401 is about 1943.8254309344.

Multiplying 7344661401 by its sum of digits (36), we get a square (264407810436 = 514206²).

The spelling of 7344661401 in words is "seven billion, three hundred forty-four million, six hundred sixty-one thousand, four hundred one".