1155006211464 has 640 divisors, whose sum is σ = 3977481024000. Its totient is φ = 312388876800.

The previous prime is 1155006211439. The next prime is 1155006211519. The reversal of 1155006211464 is 4641126005511.

1155006211464 is a `hidden beast` number, since 1 + 1 + 5 + 500 + 6 + 2 + 1 + 146 + 4 = 666.

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

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 159 ways as a sum of consecutive naturals, for example, 516318154 + ... + 516320390.

It is an arithmetic number, because the mean of its divisors is an integer number (6214814100).

Almost surely, 2^{1155006211464} is an apocalyptic number.

1155006211464 is a gapful number since it is divisible by the number (14) 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 1155006211464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1988740512000).

1155006211464 is an abundant number, since it is smaller than the sum of its proper divisors (2822474812536).

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

1155006211464 is a wasteful number, since it uses less digits than its factorization.

1155006211464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2400 (or 2373 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 1155006211464 in words is "one trillion, one hundred fifty-five billion, six million, two hundred eleven thousand, four hundred sixty-four".