2454869468160 has 528 divisors, whose sum is σ = 8767579392000. Its totient is φ = 634764460032.

The previous prime is 2454869468101. The next prime is 2454869468201. The reversal of 2454869468160 is 618649684542.

2454869468160 is a `hidden beast` number, since 2 + 4 + 5 + 4 + 8 + 6 + 9 + 468 + 160 = 666.

It is a super-2 number, since 2×2454869468160² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 236062641 + ... + 236073039.

It is an arithmetic number, because the mean of its divisors is an integer number (16605264000).

Almost surely, 2^{2454869468160} is an apocalyptic number.

2454869468160 is a gapful number since it is divisible by the number (20) 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 2454869468160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4383789696000).

2454869468160 is an abundant number, since it is smaller than the sum of its proper divisors (6312709923840).

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

2454869468160 is a wasteful number, since it uses less digits than its factorization.

2454869468160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10586 (or 10565 counting only the distinct ones).

The product of its (nonzero) digits is 79626240, while the sum is 63.

The spelling of 2454869468160 in words is "two trillion, four hundred fifty-four billion, eight hundred sixty-nine million, four hundred sixty-eight thousand, one hundred sixty".