1451705066496 has 264 divisors, whose sum is σ = 4279253172480. Its totient is φ = 473838403584.

The previous prime is 1451705066491. The next prime is 1451705066519. The reversal of 1451705066496 is 6946605071541.

1451705066496 is a `hidden beast` number, since 1 + 4 + 5 + 1 + 70 + 506 + 64 + 9 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (1451705066491) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 274993585 + ... + 274998863.

It is an arithmetic number, because the mean of its divisors is an integer number (16209292320).

Almost surely, 2^{1451705066496} is an apocalyptic number.

1451705066496 is a gapful number since it is divisible by the number (16) 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 1451705066496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2139626586240).

1451705066496 is an abundant number, since it is smaller than the sum of its proper divisors (2827548105984).

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

1451705066496 is a wasteful number, since it uses less digits than its factorization.

1451705066496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5921 (or 5900 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 1451705066496 in words is "one trillion, four hundred fifty-one billion, seven hundred five million, sixty-six thousand, four hundred ninety-six".