1125116401248 has 384 divisors, whose sum is σ = 3816445731840. Its totient is φ = 315812597760.

The previous prime is 1125116401231. The next prime is 1125116401313. The reversal of 1125116401248 is 8421046115211.

1125116401248 is a `hidden beast` number, since 1 + 1 + 2 + 5 + 1 + 1 + 6 + 401 + 248 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 473333436 + ... + 473335812.

It is an arithmetic number, because the mean of its divisors is an integer number (9938660760).

Almost surely, 2^{1125116401248} is an apocalyptic number.

1125116401248 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 1125116401248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1908222865920).

1125116401248 is an abundant number, since it is smaller than the sum of its proper divisors (2691329330592).

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

1125116401248 is a wasteful number, since it uses less digits than its factorization.

1125116401248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3747 (or 3733 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The spelling of 1125116401248 in words is "one trillion, one hundred twenty-five billion, one hundred sixteen million, four hundred one thousand, two hundred forty-eight".