542406656352 has 48 divisors (see below), whose sum is σ = 1553255428032. Its totient is φ = 164365653120.

The previous prime is 542406656347. The next prime is 542406656399. The reversal of 542406656352 is 253656604245.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 256820278 + ... + 256822389.

It is an arithmetic number, because the mean of its divisors is an integer number (32359488084).

Almost surely, 2^542406656352 is an apocalyptic number.

It is an amenable number.

542406656352 is an abundant number, since it is smaller than the sum of its proper divisors (1010848771680).

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

542406656352 is a wasteful number, since it uses less digits than its factorization.

542406656352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513642691 (or 513642683 counting only the distinct ones).

The product of its (nonzero) digits is 5184000, while the sum is 48.

The spelling of 542406656352 in words is "five hundred forty-two billion, four hundred six million, six hundred fifty-six thousand, three hundred fifty-two".