1202087734848 has 1008 divisors, whose sum is σ = 4809774138624. Its totient is φ = 282036142080.

The previous prime is 1202087734811. The next prime is 1202087734889. The reversal of 1202087734848 is 8484377802021.

1202087734848 is a `hidden beast` number, since 1 + 20 + 208 + 77 + 348 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a junction number, because it is equal to n+sod(n) for n = 1202087734794 and 1202087734803.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 189690336 + ... + 189696672.

It is an arithmetic number, because the mean of its divisors is an integer number (4771601328).

Almost surely, 2^{1202087734848} is an apocalyptic number.

1202087734848 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 1202087734848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2404887069312).

1202087734848 is an abundant number, since it is smaller than the sum of its proper divisors (3607686403776).

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

1202087734848 is a wasteful number, since it uses less digits than its factorization.

1202087734848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6440 (or 6420 counting only the distinct ones).

The product of its (nonzero) digits is 4816896, while the sum is 54.

The spelling of 1202087734848 in words is "one trillion, two hundred two billion, eighty-seven million, seven hundred thirty-four thousand, eight hundred forty-eight".