1097725414500 has 1152 divisors, whose sum is σ = 4284284659200. Its totient is φ = 232920576000.

The previous prime is 1097725414483. The next prime is 1097725414531. The reversal of 1097725414500 is 54145277901.

1097725414500 is a `hidden beast` number, since 1 + 0 + 97 + 7 + 2 + 54 + 1 + 4 + 500 = 666.

1097725414500 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1101028002 + ... + 1101028998.

It is an arithmetic number, because the mean of its divisors is an integer number (3718997100).

Almost surely, 2^{1097725414500} is an apocalyptic number.

1097725414500 is a gapful number since it is divisible by the number (10) 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 1097725414500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2142142329600).

1097725414500 is an abundant number, since it is smaller than the sum of its proper divisors (3186559244700).

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

1097725414500 is a wasteful number, since it uses less digits than its factorization.

1097725414500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1134 (or 1119 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The spelling of 1097725414500 in words is "one trillion, ninety-seven billion, seven hundred twenty-five million, four hundred fourteen thousand, five hundred".