1481526252360 has 1280 divisors, whose sum is σ = 6708588480000. Its totient is φ = 289700167680.

The previous prime is 1481526252359. The next prime is 1481526252407. The reversal of 1481526252360 is 632526251841.

1481526252360 is a `hidden beast` number, since 1 + 4 + 8 + 1 + 5 + 2 + 62 + 523 + 60 = 666.

It is a super-3 number, since 3×1481526252360³ (a number of 37 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 207813276 + ... + 207820404.

It is an arithmetic number, because the mean of its divisors is an integer number (5241084750).

Almost surely, 2^{1481526252360} is an apocalyptic number.

1481526252360 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 1481526252360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3354294240000).

1481526252360 is an abundant number, since it is smaller than the sum of its proper divisors (5227062227640).

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

1481526252360 is a wasteful number, since it uses less digits than its factorization.

1481526252360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7201 (or 7174 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 1481526252360 in words is "one trillion, four hundred eighty-one billion, five hundred twenty-six million, two hundred fifty-two thousand, three hundred sixty".