10642633111016 has 32 divisors (see below), whose sum is σ = 19986190653000. Its totient is φ = 5312984610816.

The previous prime is 10642633111001. The next prime is 10642633111021. The reversal of 10642633111016 is 61011133624601.

It can be written as a sum of positive squares in 4 ways, for example, as 10314824188900 + 327808922116 = 3211670^2 + 572546^2 .

It is a super-3 number, since 3×10642633111016³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37162100 + ... + 37447388.

Almost surely, 2^{10642633111016} is an apocalyptic number.

It is an amenable number.

10642633111016 is a deficient number, since it is larger than the sum of its proper divisors (9343557541984).

10642633111016 is a wasteful number, since it uses less digits than its factorization.

10642633111016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292581 (or 292577 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 35.

Adding to 10642633111016 its reverse (61011133624601), we get a palindrome (71653766735617).

The spelling of 10642633111016 in words is "ten trillion, six hundred forty-two billion, six hundred thirty-three million, one hundred eleven thousand, sixteen".