1542248623104 has 528 divisors, whose sum is σ = 4955403801600. Its totient is φ = 424757329920.

The previous prime is 1542248623033. The next prime is 1542248623121. The reversal of 1542248623104 is 4013268422451.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 1628561959 + ... + 1628562905.

Almost surely, 2^{1542248623104} is an apocalyptic number.

1542248623104 is a gapful number since it is divisible by the number (14) 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 1542248623104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2477701900800).

1542248623104 is an abundant number, since it is smaller than the sum of its proper divisors (3413155178496).

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

1542248623104 is a wasteful number, since it uses less digits than its factorization.

1542248623104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1364 (or 1339 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 42.

The spelling of 1542248623104 in words is "one trillion, five hundred forty-two billion, two hundred forty-eight million, six hundred twenty-three thousand, one hundred four".