10642633155456 has 64 divisors (see below), whose sum is σ = 29498602792320. Its totient is φ = 3393303322112.

The previous prime is 10642633155449. The next prime is 10642633155457. The reversal of 10642633155456 is 65455133624601.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×10642633155456³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 10642633155399 and 10642633155408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10642633155457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 602495310 + ... + 602512973.

It is an arithmetic number, because the mean of its divisors is an integer number (460915668630).

Almost surely, 2^{10642633155456} is an apocalyptic number.

10642633155456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10642633155456 is an abundant number, since it is smaller than the sum of its proper divisors (18855969636864).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10642633155456 is a wasteful number, since it uses less digits than its factorization.

10642633155456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1205008323 (or 1205008311 counting only the distinct ones).

The product of its (nonzero) digits is 7776000, while the sum is 51.

The spelling of 10642633155456 in words is "ten trillion, six hundred forty-two billion, six hundred thirty-three million, one hundred fifty-five thousand, four hundred fifty-six".