1578624049152 has 504 divisors, whose sum is σ = 4945096359216. Its totient is φ = 502935257088.

The previous prime is 1578624049139. The next prime is 1578624049159. The reversal of 1578624049152 is 2519404268751.

1578624049152 is a `hidden beast` number, since 1 + 5 + 7 + 8 + 62 + 40 + 491 + 52 = 666.

It is a super-2 number, since 2×1578624049152² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1578624049159) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1236196738 + ... + 1236198014.

Almost surely, 2^{1578624049152} is an apocalyptic number.

1578624049152 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 1578624049152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2472548179608).

1578624049152 is an abundant number, since it is smaller than the sum of its proper divisors (3366472310064).

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

1578624049152 is an frugal number, since it uses more digits than its factorization.

1578624049152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1350 (or 1305 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 1578624049152 in words is "one trillion, five hundred seventy-eight billion, six hundred twenty-four million, forty-nine thousand, one hundred fifty-two".