10463873952 has 432 divisors, whose sum is σ = 35013111840. Its totient is φ = 2719761408.

The previous prime is 10463873863. The next prime is 10463873957. The reversal of 10463873952 is 25937836401.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (10463873957) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 197431558 + ... + 197431610.

It is an arithmetic number, because the mean of its divisors is an integer number (81048870).

It is a 1-persistent number, because it is pandigital, but 2⋅10463873952 = 20927747904 is not.

Almost surely, 2^10463873952 is an apocalyptic number.

10463873952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10463873952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17506555920).

10463873952 is an abundant number, since it is smaller than the sum of its proper divisors (24549237888).

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

10463873952 is a wasteful number, since it uses less digits than its factorization.

10463873952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 48.

The spelling of 10463873952 in words is "ten billion, four hundred sixty-three million, eight hundred seventy-three thousand, nine hundred fifty-two".