10454515616 has 48 divisors (see below), whose sum is σ = 21724164000. Its totient is φ = 4938755328.

The previous prime is 10454515613. The next prime is 10454515627. The reversal of 10454515616 is 61651545401.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a self number, because there is not a number n which added to its sum of digits gives 10454515616.

It is not an unprimeable number, because it can be changed into a prime (10454515613) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 203735 + ... + 249833.

It is an arithmetic number, because the mean of its divisors is an integer number (452586750).

Almost surely, 2^10454515616 is an apocalyptic number.

10454515616 is a gapful number since it is divisible by the number (16) 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 10454515616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10862082000).

10454515616 is an abundant number, since it is smaller than the sum of its proper divisors (11269648384).

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

10454515616 is a wasteful number, since it uses less digits than its factorization.

10454515616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46501 (or 46493 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 38.

The spelling of 10454515616 in words is "ten billion, four hundred fifty-four million, five hundred fifteen thousand, six hundred sixteen".