153045661410 has 320 divisors, whose sum is σ = 429260277600. Its totient is φ = 39098142720.

The previous prime is 153045661367. The next prime is 153045661423. The reversal of 153045661410 is 14166540351.

153045661410 is a `hidden beast` number, since 1 + 5 + 30 + 4 + 5 + 6 + 614 + 1 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 202977009 + 152842684401 = 14247^2 + 390951^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 776881432 + ... + 776881628.

Almost surely, 2^153045661410 is an apocalyptic number.

153045661410 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 153045661410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214630138800).

153045661410 is an abundant number, since it is smaller than the sum of its proper divisors (276214616190).

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

153045661410 is a wasteful number, since it uses less digits than its factorization.

153045661410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 563 (or 554 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 153045661410 in words is "one hundred fifty-three billion, forty-five million, six hundred sixty-one thousand, four hundred ten".