1253548406656 has 384 divisors, whose sum is σ = 3419491541760. Its totient is φ = 451666575360.

The previous prime is 1253548406597. The next prime is 1253548406659. The reversal of 1253548406656 is 6566048453521.

It is a happy number.

It is a super-3 number, since 3×1253548406656³ (a number of 37 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1253548406597 and 1253548406606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1253548406659) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42954886 + ... + 42984058.

It is an arithmetic number, because the mean of its divisors is an integer number (8904925890).

Almost surely, 2^{1253548406656} is an apocalyptic number.

1253548406656 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 1253548406656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1709745770880).

1253548406656 is an abundant number, since it is smaller than the sum of its proper divisors (2165943135104).

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

1253548406656 is a wasteful number, since it uses less digits than its factorization.

1253548406656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29262 (or 29243 counting only the distinct ones).

The product of its (nonzero) digits is 20736000, while the sum is 55.

The spelling of 1253548406656 in words is "one trillion, two hundred fifty-three billion, five hundred forty-eight million, four hundred six thousand, six hundred fifty-six".