1461142006632 has 256 divisors, whose sum is σ = 5112405043200. Its totient is φ = 375604439040.

The previous prime is 1461142006607. The next prime is 1461142006637. The reversal of 1461142006632 is 2366002411641.

1461142006632 is a `hidden beast` number, since 1 + 4 + 6 + 1 + 14 + 2 + 0 + 0 + 6 + 632 = 666.

It is a super-3 number, since 3×1461142006632³ (a number of 37 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1461142006637) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1160463 + ... + 2066145.

It is an arithmetic number, because the mean of its divisors is an integer number (19970332200).

Almost surely, 2^{1461142006632} is an apocalyptic number.

1461142006632 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 1461142006632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2556202521600).

1461142006632 is an abundant number, since it is smaller than the sum of its proper divisors (3651263036568).

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

1461142006632 is a wasteful number, since it uses less digits than its factorization.

1461142006632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 905813 (or 905803 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 1461142006632 in words is "one trillion, four hundred sixty-one billion, one hundred forty-two million, six thousand, six hundred thirty-two".