1046121885601 has 27 divisors (see below), whose sum is σ = 1173623888619. Its totient is φ = 932009000832.

The previous prime is 1046121885569. The next prime is 1046121885631. The reversal of 1046121885601 is 1065881216401.

The square root of 1046121885601 is 1022801.

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

It can be written as a sum of positive squares in 13 ways, for example, as 224343375201 + 821778510400 = 473649^2 + 906520^2 .

It is not a de Polignac number, because 1046121885601 - 2⁵ = 1046121885569 is a prime.

It is a super-2 number, since 2×1046121885601² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1046121885631) 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, 385594621 + ... + 385597333.

Almost surely, 2^{1046121885601} is an apocalyptic number.

1046121885601 is the 1022801-st square number.

1046121885601 is the 511401-st centered octagonal number.

It is an amenable number.

1046121885601 is a deficient number, since it is larger than the sum of its proper divisors (127502003018).

1046121885601 is an frugal number, since it uses more digits than its factorization.

1046121885601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5510 (or 2755 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 43.

The spelling of 1046121885601 in words is "one trillion, forty-six billion, one hundred twenty-one million, eight hundred eighty-five thousand, six hundred one".