74228154000 has 1280 divisors, whose sum is σ = 340682194944. Its totient is φ = 13381632000.

The previous prime is 74228153953. The next prime is 74228154041. The reversal of 74228154000 is 45182247.

It is a super-3 number, since 3×74228154000³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

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 255 ways as a sum of consecutive naturals, for example, 102101637 + ... + 102102363.

Almost surely, 2^74228154000 is an apocalyptic number.

74228154000 is a gapful number since it is divisible by the number (70) 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 74228154000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170341097472).

74228154000 is an abundant number, since it is smaller than the sum of its proper divisors (266454040944).

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

74228154000 is a wasteful number, since it uses less digits than its factorization.

74228154000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 801 (or 785 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 33.

The spelling of 74228154000 in words is "seventy-four billion, two hundred twenty-eight million, one hundred fifty-four thousand".