10484353152 has 1024 divisors, whose sum is σ = 42195686400. Its totient is φ = 2484338688.

The previous prime is 10484353147. The next prime is 10484353153. The reversal of 10484353152 is 25135348401.

It is a super-2 number, since 2×10484353152² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (10484353153) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 197817958 + ... + 197818010.

It is an arithmetic number, because the mean of its divisors is an integer number (41206725).

Almost surely, 2^10484353152 is an apocalyptic number.

10484353152 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 10484353152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21097843200).

10484353152 is an abundant number, since it is smaller than the sum of its proper divisors (31711333248).

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

10484353152 is a wasteful number, since it uses less digits than its factorization.

10484353152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 10484353152 in words is "ten billion, four hundred eighty-four million, three hundred fifty-three thousand, one hundred fifty-two".