1053624843456 has 448 divisors, whose sum is σ = 3091485450240. Its totient is φ = 316343746560.

The previous prime is 1053624843419. The next prime is 1053624843461. The reversal of 1053624843456 is 6543484263501.

It is a super-2 number, since 2×1053624843456² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a junction number, because it is equal to n+sod(n) for n = 1053624843399 and 1053624843408.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4006177981 + ... + 4006178243.

Almost surely, 2^{1053624843456} is an apocalyptic number.

1053624843456 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 1053624843456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1545742725120).

1053624843456 is an abundant number, since it is smaller than the sum of its proper divisors (2037860606784).

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

1053624843456 is a wasteful number, since it uses less digits than its factorization.

1053624843456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 51.

The spelling of 1053624843456 in words is "one trillion, fifty-three billion, six hundred twenty-four million, eight hundred forty-three thousand, four hundred fifty-six".