1148897137248 has 768 divisors, whose sum is σ = 4182119424000. Its totient is φ = 305632051200.

The previous prime is 1148897137247. The next prime is 1148897137273. The reversal of 1148897137248 is 8427317988411.

1148897137248 is a `hidden beast` number, since 1 + 148 + 89 + 7 + 1 + 372 + 48 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1148897137243) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 488683273 + ... + 488685623.

It is an arithmetic number, because the mean of its divisors is an integer number (5445468000).

Almost surely, 2^{1148897137248} is an apocalyptic number.

1148897137248 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 1148897137248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2091059712000).

1148897137248 is an abundant number, since it is smaller than the sum of its proper divisors (3033222286752).

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

1148897137248 is a wasteful number, since it uses less digits than its factorization.

1148897137248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2505 (or 2477 counting only the distinct ones).

The product of its digits is 21676032, while the sum is 63.

It can be divided in two parts, 114889713 and 7248, that added together give a square (114896961 = 10719²).

The spelling of 1148897137248 in words is "one trillion, one hundred forty-eight billion, eight hundred ninety-seven million, one hundred thirty-seven thousand, two hundred forty-eight".