1484015996064 has 960 divisors, whose sum is σ = 5236631285760. Its totient is φ = 365295329280.

The previous prime is 1484015996041. The next prime is 1484015996101. The reversal of 1484015996064 is 4606995104841.

It is a super-3 number, since 3×1484015996064³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a junction number, because it is equal to n+sod(n) for n = 1484015995995 and 1484015996013.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2307956127 + ... + 2307956769.

It is an arithmetic number, because the mean of its divisors is an integer number (5454824256).

Almost surely, 2^{1484015996064} is an apocalyptic number.

1484015996064 is a gapful number since it is divisible by the number (14) 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 1484015996064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2618315642880).

1484015996064 is an abundant number, since it is smaller than the sum of its proper divisors (3752615289696).

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

1484015996064 is a wasteful number, since it uses less digits than its factorization.

1484015996064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 751 (or 722 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 57.

The spelling of 1484015996064 in words is "one trillion, four hundred eighty-four billion, fifteen million, nine hundred ninety-six thousand, sixty-four".