452703371879808 has 3072 divisors, whose sum is σ = 1725368926464000. Its totient is φ = 114077727129600.

The previous prime is 452703371879807. The next prime is 452703371879849. The reversal of 452703371879808 is 808978173307254.

452703371879808 is a `hidden beast` number, since 4 + 5 + 27 + 0 + 337 + 187 + 98 + 0 + 8 = 666.

It is a super-2 number, since 2×452703371879808² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (452703371879807) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1428086346466 + ... + 1428086346782.

It is an arithmetic number, because the mean of its divisors is an integer number (561643530750).

Almost surely, 2^{452703371879808} is an apocalyptic number.

452703371879808 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 452703371879808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (862684463232000).

452703371879808 is an abundant number, since it is smaller than the sum of its proper divisors (1272665554584192).

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

452703371879808 is a wasteful number, since it uses less digits than its factorization.

452703371879808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 568995840, while the sum is 72.

The spelling of 452703371879808 in words is "four hundred fifty-two trillion, seven hundred three billion, three hundred seventy-one million, eight hundred seventy-nine thousand, eight hundred eight".