454706021952 has 1680 divisors, whose sum is σ = 1845780773760. Its totient is φ = 107375984640.

The previous prime is 454706021947. The next prime is 454706021963. The reversal of 454706021952 is 259120607454.

454706021952 is a `hidden beast` number, since 454 + 7 + 0 + 6 + 0 + 2 + 195 + 2 = 666.

It is a super-3 number, since 3×454706021952³ (a number of 36 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 454706021898 and 454706021907.

It is an unprimeable number.

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 239 ways as a sum of consecutive naturals, for example, 7706881699 + ... + 7706881757.

It is an arithmetic number, because the mean of its divisors is an integer number (1098679032).

Almost surely, 2^454706021952 is an apocalyptic number.

454706021952 is a gapful number since it is divisible by the number (42) 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 454706021952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (922890386880).

454706021952 is an abundant number, since it is smaller than the sum of its proper divisors (1391074751808).

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

454706021952 is a wasteful number, since it uses less digits than its factorization.

454706021952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 454706021952 in words is "four hundred fifty-four billion, seven hundred six million, twenty-one thousand, nine hundred fifty-two".