9468456552 has 256 divisors, whose sum is σ = 28385280000. Its totient is φ = 2917119744.

The previous prime is 9468456551. The next prime is 9468456559. The reversal of 9468456552 is 2556548649.

9468456552 is a `hidden beast` number, since 9 + 4 + 6 + 84 + 5 + 6 + 552 = 666.

It is a super-2 number, since 2×9468456552² (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (9468456551) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27130074 + ... + 27130422.

It is an arithmetic number, because the mean of its divisors is an integer number (110880000).

Almost surely, 2^9468456552 is an apocalyptic number.

9468456552 is a gapful number since it is divisible by the number (92) 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 9468456552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14192640000).

9468456552 is an abundant number, since it is smaller than the sum of its proper divisors (18916823448).

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

9468456552 is a wasteful number, since it uses less digits than its factorization.

9468456552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 557 (or 547 counting only the distinct ones).

The product of its digits is 10368000, while the sum is 54.

The square root of 9468456552 is about 97305.9944299425. The cubic root of 9468456552 is about 2115.5651143204.

The spelling of 9468456552 in words is "nine billion, four hundred sixty-eight million, four hundred fifty-six thousand, five hundred fifty-two".