10544362451634 has 256 divisors, whose sum is σ = 24840150073344. Its totient is φ = 2948619264000.

The previous prime is 10544362451629. The next prime is 10544362451639. The reversal of 10544362451634 is 43615426344501.

It is an interprime number because it is at equal distance from previous prime (10544362451629) and next prime (10544362451639).

It is a super-2 number, since 2×10544362451634² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10544362451639) 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 127 ways as a sum of consecutive naturals, for example, 12218264287 + ... + 12218265149.

It is an arithmetic number, because the mean of its divisors is an integer number (97031836224).

Almost surely, 2^{10544362451634} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10544362451634, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12420075036672).

10544362451634 is an abundant number, since it is smaller than the sum of its proper divisors (14295787621710).

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

10544362451634 is a wasteful number, since it uses less digits than its factorization.

10544362451634 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1921.

The product of its (nonzero) digits is 4147200, while the sum is 48.

The spelling of 10544362451634 in words is "ten trillion, five hundred forty-four billion, three hundred sixty-two million, four hundred fifty-one thousand, six hundred thirty-four".