1481614677120 has 512 divisors, whose sum is σ = 5131076544000. Its totient is φ = 362514087936.

The previous prime is 1481614677119. The next prime is 1481614677121. The reversal of 1481614677120 is 217764161841.

It is an interprime number because it is at equal distance from previous prime (1481614677119) and next prime (1481614677121).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 1481614677120.

It is not an unprimeable number, because it can be changed into a prime (1481614677121) 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, 201056796 + ... + 201064164.

It is an arithmetic number, because the mean of its divisors is an integer number (10021633875).

Almost surely, 2^{1481614677120} is an apocalyptic number.

1481614677120 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 1481614677120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2565538272000).

1481614677120 is an abundant number, since it is smaller than the sum of its proper divisors (3649461866880).

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

1481614677120 is a wasteful number, since it uses less digits than its factorization.

1481614677120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7600 (or 7588 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 48.

The spelling of 1481614677120 in words is "one trillion, four hundred eighty-one billion, six hundred fourteen million, six hundred seventy-seven thousand, one hundred twenty".