1187598642048 has 768 divisors, whose sum is σ = 4390890940800. Its totient is φ = 299649466368.

The previous prime is 1187598642023. The next prime is 1187598642049. The reversal of 1187598642048 is 8402468957811.

1187598642048 is a `hidden beast` number, since 1 + 1 + 87 + 5 + 98 + 6 + 420 + 48 = 666.

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 (1187598642049) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 343532736 + ... + 343536192.

Almost surely, 2^{1187598642048} is an apocalyptic number.

1187598642048 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 1187598642048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2195445470400).

1187598642048 is an abundant number, since it is smaller than the sum of its proper divisors (3203292298752).

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

1187598642048 is a wasteful number, since it uses less digits than its factorization.

1187598642048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3639 (or 3624 counting only the distinct ones).

The product of its (nonzero) digits is 30965760, while the sum is 63.

The spelling of 1187598642048 in words is "one trillion, one hundred eighty-seven billion, five hundred ninety-eight million, six hundred forty-two thousand, forty-eight".