141414015456 has 192 divisors, whose sum is σ = 476241615360. Its totient is φ = 39987302400.

The previous prime is 141414015409. The next prime is 141414015473. The reversal of 141414015456 is 654510414141.

141414015456 is a `hidden beast` number, since 1 + 41 + 414 + 0 + 154 + 56 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 141414015456.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 466131 + ... + 707181.

It is an arithmetic number, because the mean of its divisors is an integer number (2480425080).

Almost surely, 2^141414015456 is an apocalyptic number.

141414015456 is a gapful number since it is divisible by the number (16) 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 141414015456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238120807680).

141414015456 is an abundant number, since it is smaller than the sum of its proper divisors (334827599904).

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

141414015456 is a wasteful number, since it uses less digits than its factorization.

141414015456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241174 (or 241160 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

Adding to 141414015456 its reverse (654510414141), we get a palindrome (795924429597).

The spelling of 141414015456 in words is "one hundred forty-one billion, four hundred fourteen million, fifteen thousand, four hundred fifty-six".