453638009088 has 360 divisors, whose sum is σ = 1484596935360. Its totient is φ = 136631439360.

The previous prime is 453638008969. The next prime is 453638009089. The reversal of 453638009088 is 880900836354.

It is a happy number.

453638009088 is a `hidden beast` number, since 45 + 363 + 80 + 0 + 90 + 88 = 666.

It is a super-3 number, since 3×453638009088³ (a number of 36 digits) contains 333 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 (453638009089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 38086078 + ... + 38097986.

It is an arithmetic number, because the mean of its divisors is an integer number (4123880376).

Almost surely, 2^453638009088 is an apocalyptic number.

453638009088 is a gapful number since it is divisible by the number (48) 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 453638009088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (742298467680).

453638009088 is an abundant number, since it is smaller than the sum of its proper divisors (1030958926272).

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

453638009088 is a wasteful number, since it uses less digits than its factorization.

453638009088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12115 (or 12092 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 453638009088 in words is "four hundred fifty-three billion, six hundred thirty-eight million, nine thousand, eighty-eight".