451013082048 has 224 divisors, whose sum is σ = 1338990464000. Its totient is φ = 148858767360.

The previous prime is 451013082041. The next prime is 451013082077. The reversal of 451013082048 is 840280310154.

451013082048 is a `hidden beast` number, since 4 + 510 + 130 + 8 + 2 + 0 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (451013082041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 98236233 + ... + 98240823.

It is an arithmetic number, because the mean of its divisors is an integer number (5977636000).

Almost surely, 2^451013082048 is an apocalyptic number.

451013082048 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 451013082048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (669495232000).

451013082048 is an abundant number, since it is smaller than the sum of its proper divisors (887977381952).

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

451013082048 is a wasteful number, since it uses less digits than its factorization.

451013082048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5160 (or 5144 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 451013082048 in words is "four hundred fifty-one billion, thirteen million, eighty-two thousand, forty-eight".