153496294734464 has 384 divisors, whose sum is σ = 343014660031680. Its totient is φ = 67841596293120.

The previous prime is 153496294734463. The next prime is 153496294734467. The reversal of 153496294734464 is 464437492694351.

It is a super-2 number, since 2×153496294734464² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (153496294734463) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 354494906792 + ... + 354494907224.

Almost surely, 2^{153496294734464} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 153496294734464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171507330015840).

153496294734464 is an abundant number, since it is smaller than the sum of its proper divisors (189518365297216).

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

153496294734464 is a wasteful number, since it uses less digits than its factorization.

153496294734464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 976 (or 825 counting only the distinct ones).

The product of its digits is 1881169920, while the sum is 71.

The spelling of 153496294734464 in words is "one hundred fifty-three trillion, four hundred ninety-six billion, two hundred ninety-four million, seven hundred thirty-four thousand, four hundred sixty-four".