73734101007461 has 2 divisors, whose sum is σ = 73734101007462. Its totient is φ = 73734101007460.

The previous prime is 73734101007421. The next prime is 73734101007493. The reversal of 73734101007461 is 16470010143737.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 42566099032900 + 31168001974561 = 6524270^2 + 5582831^2 .

It is a cyclic number.

It is not a de Polignac number, because 73734101007461 - 2¹⁰ = 73734101006437 is a prime.

It is a super-2 number, since 2×73734101007461² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (73734101007421) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36867050503730 + 36867050503731.

It is an arithmetic number, because the mean of its divisors is an integer number (36867050503731).

Almost surely, 2^{73734101007461} is an apocalyptic number.

It is an amenable number.

73734101007461 is a deficient number, since it is larger than the sum of its proper divisors (1).

73734101007461 is an equidigital number, since it uses as much as digits as its factorization.

73734101007461 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 296352, while the sum is 44.

The spelling of 73734101007461 in words is "seventy-three trillion, seven hundred thirty-four billion, one hundred one million, seven thousand, four hundred sixty-one".