1481131947600 has 720 divisors, whose sum is σ = 5653761719424. Its totient is φ = 371568384000.

The previous prime is 1481131947587. The next prime is 1481131947641. The reversal of 1481131947600 is 67491311841.

1481131947600 is a `hidden beast` number, since 1 + 4 + 8 + 1 + 1 + 31 + 9 + 4 + 7 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 136366170 + ... + 136377030.

Almost surely, 2^{1481131947600} is an apocalyptic number.

1481131947600 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 1481131947600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2826880859712).

1481131947600 is an abundant number, since it is smaller than the sum of its proper divisors (4172629771824).

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

1481131947600 is a wasteful number, since it uses less digits than its factorization.

1481131947600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10978 (or 10955 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 1481131947600 in words is "one trillion, four hundred eighty-one billion, one hundred thirty-one million, nine hundred forty-seven thousand, six hundred".