454151617920 has 2304 divisors, whose sum is σ = 2172041464320. Its totient is φ = 84881571840.

The previous prime is 454151617883. The next prime is 454151617939. The reversal of 454151617920 is 29716151454.

454151617920 is a `hidden beast` number, since 4 + 5 + 4 + 1 + 5 + 1 + 617 + 9 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 5471706199 + ... + 5471706281.

It is an arithmetic number, because the mean of its divisors is an integer number (942726330).

Almost surely, 2^454151617920 is an apocalyptic number.

454151617920 is a gapful number since it is divisible by the number (40) 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 454151617920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1086020732160).

454151617920 is an abundant number, since it is smaller than the sum of its proper divisors (1717889846400).

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

454151617920 is a wasteful number, since it uses less digits than its factorization.

454151617920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 454151617920 in words is "four hundred fifty-four billion, one hundred fifty-one million, six hundred seventeen thousand, nine hundred twenty".