1468152576 has 216 divisors, whose sum is σ = 4709302416. Its totient is φ = 436101120.

The previous prime is 1468152551. The next prime is 1468152593. The reversal of 1468152576 is 6752518641.

1468152576 is a `hidden beast` number, since 1 + 4 + 68 + 15 + 2 + 576 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1342686 + ... + 1343778.

It is an arithmetic number, because the mean of its divisors is an integer number (21802326).

Almost surely, 2^1468152576 is an apocalyptic number.

1468152576 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 1468152576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2354651208).

1468152576 is an abundant number, since it is smaller than the sum of its proper divisors (3241149840).

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

1468152576 is a wasteful number, since it uses less digits than its factorization.

1468152576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1179 (or 1162 counting only the distinct ones).

The product of its digits is 403200, while the sum is 45.

The square root of 1468152576 is about 38316.4791701952. The cubic root of 1468152576 is about 1136.5548436857.

The spelling of 1468152576 in words is "one billion, four hundred sixty-eight million, one hundred fifty-two thousand, five hundred seventy-six".