1463506661200 has 240 divisors, whose sum is σ = 3759403954176. Its totient is φ = 546224166400.

The previous prime is 1463506661191. The next prime is 1463506661249. The reversal of 1463506661200 is 21666053641.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 134470959 + ... + 134481841.

Almost surely, 2^{1463506661200} is an apocalyptic number.

1463506661200 is a gapful number since it is divisible by the number (10) 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 1463506661200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1879701977088).

1463506661200 is an abundant number, since it is smaller than the sum of its proper divisors (2295897292976).

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

1463506661200 is a wasteful number, since it uses less digits than its factorization.

1463506661200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11282 (or 11271 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 40.

The spelling of 1463506661200 in words is "one trillion, four hundred sixty-three billion, five hundred six million, six hundred sixty-one thousand, two hundred".