1375358247648 has 1152 divisors, whose sum is σ = 5283344102400. Its totient is φ = 331396116480.

The previous prime is 1375358247643. The next prime is 1375358247649. The reversal of 1375358247648 is 8467428535731.

It is a happy number.

1375358247648 is a `hidden beast` number, since 1 + 3 + 7 + 5 + 3 + 582 + 4 + 7 + 6 + 48 = 666.

It is a super-2 number, since 2×1375358247648² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1375358247643) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2702078818 + ... + 2702079326.

It is an arithmetic number, because the mean of its divisors is an integer number (4586236200).

Almost surely, 2^{1375358247648} is an apocalyptic number.

1375358247648 is a gapful number since it is divisible by the number (18) 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 1375358247648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2641672051200).

1375358247648 is an abundant number, since it is smaller than the sum of its proper divisors (3907985854752).

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

1375358247648 is a wasteful number, since it uses less digits than its factorization.

1375358247648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 637 (or 604 counting only the distinct ones).

The product of its digits is 135475200, while the sum is 63.

The spelling of 1375358247648 in words is "one trillion, three hundred seventy-five billion, three hundred fifty-eight million, two hundred forty-seven thousand, six hundred forty-eight".