10019801475649 has 9 divisors (see below), whose sum is σ = 11655713206371. Its totient is φ = 8588382272400.

The previous prime is 10019801475601. The next prime is 10019801475689. The reversal of 10019801475649 is 94657410891001.

The square root of 10019801475649 is 3165407.

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

It can be written as a sum of positive squares in only one way, i.e., 44315649 + 10019757160000 = 6657^2 + 3165400^2 .

It is not a de Polignac number, because 10019801475649 - 2⁷ = 10019801475521 is a prime.

It is a super-2 number, since 2×10019801475649² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10019801475649.

It is not an unprimeable number, because it can be changed into a prime (10019801475689) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 21931749 + ... + 22383949.

Almost surely, 2^{10019801475649} is an apocalyptic number.

10019801475649 is the 3165407-th square number.

10019801475649 is the 1582704-th centered octagonal number.

It is an amenable number.

10019801475649 is a deficient number, since it is larger than the sum of its proper divisors (1635911730722).

10019801475649 is an frugal number, since it uses more digits than its factorization.

10019801475649 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 904416 (or 452208 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 55.

The spelling of 10019801475649 in words is "ten trillion, nineteen billion, eight hundred one million, four hundred seventy-five thousand, six hundred forty-nine".