1416135552 has 128 divisors (see below), whose sum is σ = 4182097920. Its totient is φ = 421632000.

The previous prime is 1416135529. The next prime is 1416135563. The reversal of 1416135552 is 2555316141.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 150177 + ... + 159327.

It is an arithmetic number, because the mean of its divisors is an integer number (32672640).

Almost surely, 2^1416135552 is an apocalyptic number.

1416135552 is a gapful number since it is divisible by the number (12) 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 1416135552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2091048960).

1416135552 is an abundant number, since it is smaller than the sum of its proper divisors (2765962368).

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

1416135552 is a wasteful number, since it uses less digits than its factorization.

1416135552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9212 (or 9200 counting only the distinct ones).

The product of its digits is 18000, while the sum is 33.

The square root of 1416135552 is about 37631.5765282296. The cubic root of 1416135552 is about 1122.9703128522.

The spelling of 1416135552 in words is "one billion, four hundred sixteen million, one hundred thirty-five thousand, five hundred fifty-two".