1146464871552 has 1152 divisors, whose sum is σ = 4599397969920. Its totient is φ = 265901875200.

The previous prime is 1146464871533. The next prime is 1146464871569. The reversal of 1146464871552 is 2551784646411.

1146464871552 is a `hidden beast` number, since 1 + 1 + 4 + 6 + 4 + 6 + 4 + 87 + 1 + 552 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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, 464719023 + ... + 464721489.

It is an arithmetic number, because the mean of its divisors is an integer number (3992532960).

Almost surely, 2^{1146464871552} is an apocalyptic number.

1146464871552 is a gapful number since it is divisible by the number (12) 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 1146464871552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2299698984960).

1146464871552 is an abundant number, since it is smaller than the sum of its proper divisors (3452933098368).

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

1146464871552 is a wasteful number, since it uses less digits than its factorization.

1146464871552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2562 (or 2534 counting only the distinct ones).

The product of its digits is 6451200, while the sum is 54.

The spelling of 1146464871552 in words is "one trillion, one hundred forty-six billion, four hundred sixty-four million, eight hundred seventy-one thousand, five hundred fifty-two".