145633414410 has 96 divisors (see below), whose sum is σ = 414479939328. Its totient is φ = 35184504960.

The previous prime is 145633414391. The next prime is 145633414481. The reversal of 145633414410 is 14414336541.

145633414410 is a `hidden beast` number, since 1 + 4 + 5 + 633 + 4 + 1 + 4 + 4 + 10 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39039 + ... + 541101.

It is an arithmetic number, because the mean of its divisors is an integer number (4317499368).

Almost surely, 2^145633414410 is an apocalyptic number.

145633414410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 145633414410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207239969664).

145633414410 is an abundant number, since it is smaller than the sum of its proper divisors (268846524918).

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

145633414410 is a wasteful number, since it uses less digits than its factorization.

145633414410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502380 (or 502377 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 145633414410 in words is "one hundred forty-five billion, six hundred thirty-three million, four hundred fourteen thousand, four hundred ten".