10147468128 has 96 divisors (see below), whose sum is σ = 30530836224. Its totient is φ = 2890854912.

The previous prime is 10147468117. The next prime is 10147468129. The reversal of 10147468128 is 82186474101.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×10147468128² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 10147468128.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10147468129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 211426 + ... + 254942.

It is an arithmetic number, because the mean of its divisors is an integer number (318029544).

Almost surely, 2^10147468128 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 10147468128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15265418112).

10147468128 is an abundant number, since it is smaller than the sum of its proper divisors (20383368096).

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

10147468128 is a wasteful number, since it uses less digits than its factorization.

10147468128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43884 (or 43876 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 42.

The spelling of 10147468128 in words is "ten billion, one hundred forty-seven million, four hundred sixty-eight thousand, one hundred twenty-eight".