10437451226752 has 128 divisors (see below), whose sum is σ = 22786225862400. Its totient is φ = 4722894336000.

The previous prime is 10437451226747. The next prime is 10437451226759. The reversal of 10437451226752 is 25762215473401.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×10437451226752² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10437451226696 and 10437451226705.

It is not an unprimeable number, because it can be changed into a prime (10437451226759) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 279738274 + ... + 279775582.

It is an arithmetic number, because the mean of its divisors is an integer number (178017389550).

Almost surely, 2^{10437451226752} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10437451226752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11393112931200).

10437451226752 is an abundant number, since it is smaller than the sum of its proper divisors (12348774635648).

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

10437451226752 is a wasteful number, since it uses less digits than its factorization.

10437451226752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38226 (or 38214 counting only the distinct ones).

The product of its (nonzero) digits is 2822400, while the sum is 49.

The spelling of 10437451226752 in words is "ten trillion, four hundred thirty-seven billion, four hundred fifty-one million, two hundred twenty-six thousand, seven hundred fifty-two".