15354648468 has 96 divisors (see below), whose sum is σ = 40158720000. Its totient is φ = 5073321600.

The previous prime is 15354648443. The next prime is 15354648469. The reversal of 15354648468 is 86484645351.

15354648468 is a `hidden beast` number, since 1 + 53 + 54 + 6 + 484 + 68 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15354648469) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13339693 + ... + 13340843.

It is an arithmetic number, because the mean of its divisors is an integer number (418320000).

Almost surely, 2^15354648468 is an apocalyptic number.

15354648468 is a gapful number since it is divisible by the number (18) 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 15354648468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20079360000).

15354648468 is an abundant number, since it is smaller than the sum of its proper divisors (24804071532).

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

15354648468 is a wasteful number, since it uses less digits than its factorization.

15354648468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2142 (or 2134 counting only the distinct ones).

The product of its digits is 11059200, while the sum is 54.

The spelling of 15354648468 in words is "fifteen billion, three hundred fifty-four million, six hundred forty-eight thousand, four hundred sixty-eight".