1451214116352 has 2560 divisors, whose sum is σ = 6335594496000. Its totient is φ = 315319910400.

The previous prime is 1451214116323. The next prime is 1451214116381. The reversal of 1451214116352 is 2536114121541.

1451214116352 is a `hidden beast` number, since 1 + 4 + 5 + 1 + 2 + 1 + 4 + 11 + 635 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (1451214116323) and next prime (1451214116381).

It is a super-2 number, since 2×1451214116352² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 7292533149 + ... + 7292533347.

It is an arithmetic number, because the mean of its divisors is an integer number (2474841600).

Almost surely, 2^{1451214116352} is an apocalyptic number.

1451214116352 is a gapful number since it is divisible by the number (12) 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 1451214116352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3167797248000).

1451214116352 is an abundant number, since it is smaller than the sum of its proper divisors (4884380379648).

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

1451214116352 is a wasteful number, since it uses less digits than its factorization.

1451214116352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 283 counting only the distinct ones).

The product of its digits is 28800, while the sum is 36.

Adding to 1451214116352 its reverse (2536114121541), we get a palindrome (3987328237893).

The spelling of 1451214116352 in words is "one trillion, four hundred fifty-one billion, two hundred fourteen million, one hundred sixteen thousand, three hundred fifty-two".